Cremona's table of elliptic curves

11830 = 2 · 5 · 7 · 13²

Field	Data	Notes
Atkin-Lehner	2- 5- 7+ 13+	Signs for the Atkin-Lehner involutions
Class	11830t	Isogeny class
Conductor	11830	Conductor
∏ cp	480	Product of Tamagawa factors cp
deg	161280	Modular degree for the optimal curve
Δ	403004107390976000 = 220 · 53 · 72 · 137	Discriminant
Eigenvalues	2-  0 5- 7+ -4 13+  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-338032,69289939]	[a1,a2,a3,a4,a6]
Generators	[-523:10401:1]	Generators of the group modulo torsion
j	884984855328729/83492864000	j-invariant
L	6.7316514221506	L(r)(E,1)/r!
Ω	0.29146883621952	Real period
R	0.76985376429526	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	94640cr1 106470be1 59150h1 82810bv1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11830t1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	0	-	+	-4	+	2	4	8	-2	-4	-10	6	0	-8	2	-12	-2	4	-12	2	-8	-4	-2	-14

---

Quadratic twists for elliptic curve 11830t1

-4	-3	5	-7	13
94640cr1	106470be1	59150h1	82810bv1	910a1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations