Cremona's table of elliptic curves

11730 = 2 · 3 · 5 · 17 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 17+ 23+	Signs for the Atkin-Lehner involutions
Class	11730l	Isogeny class
Conductor	11730	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-100872794812500 = -1 · 22 · 33 · 56 · 173 · 233	Discriminant
Eigenvalues	2- 3- 5+ -4 -3  5 17+ -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,6519,439245]	[a1,a2,a3,a4,a6]
Generators	[18:741:1]	Generators of the group modulo torsion
j	30638146714114031/100872794812500	j-invariant
L	6.9127035118759	L(r)(E,1)/r!
Ω	0.42298351356772	Real period
R	1.3618938032142	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	93840bh2 35190ba2 58650k2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 11730l2

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
-	-	+	-4	-3	5	+	-1	+	9	5	-10	-9	8	3	-9	-3	-7	-7	12	-16	-10	0	15	17

---

Quadratic twists for elliptic curve 11730l2

-4	-3	5
93840bh2	35190ba2	58650k2

---

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