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	11830i	Isogeny class
Conductor	11830	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	96768	Modular degree for the optimal curve
Δ	4030041073909760 = 218 · 5 · 72 · 137	Discriminant
Eigenvalues	2+ -2 5- 7+  0 13+  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-202128,34826846]	[a1,a2,a3,a4,a6]
j	189208196468929/834928640	j-invariant
L	0.88377433885737	L(r)(E,1)/r!
Ω	0.44188716942869	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	94640dd1 106470dw1 59150bx1 82810l1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11830i1

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
+	-2	-	+	0	+	0	-2	6	6	4	-2	0	8	0	12	-6	-10	4	-6	-2	8	-12	0	10

---

Quadratic twists for elliptic curve 11830i1

-4	-3	5	-7	13
94640dd1	106470dw1	59150bx1	82810l1	910j1

---

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