Cremona's table of elliptic curves

2378 = 2 · 29 · 41

Field	Data	Notes
Atkin-Lehner	2- 29- 41-	Signs for the Atkin-Lehner involutions
Class	2378d	Isogeny class
Conductor	2378	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	864	Modular degree for the optimal curve
Δ	551696 = 24 · 292 · 41	Discriminant
Eigenvalues	2-  2  2  2  2 -2  2  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-717,7091]	[a1,a2,a3,a4,a6]
j	40767965189713/551696	j-invariant
L	5.3208506212666	L(r)(E,1)/r!
Ω	2.6604253106333	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	19024e1 76096b1 21402b1 59450f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2378d1

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	2	2	2	-2	2	6	-8	-	-4	2	-	-4	-6	6	-12	-2	10	10	-10	14	4	-6	2

---

Quadratic twists for elliptic curve 2378d1

-4	8	-3	5	-7	29	41
19024e1	76096b1	21402b1	59450f1	116522p1	68962c1	97498h1

---

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