Cremona's table of elliptic curves

2793 = 3 · 7² · 19

Field	Data	Notes
Atkin-Lehner	3+ 7- 19-	Signs for the Atkin-Lehner involutions
Class	2793c	Isogeny class
Conductor	2793	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	382241601 = 32 · 76 · 192	Discriminant
Eigenvalues	1 3+  2 7-  0 -6  6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-319,-2120]	[a1,a2,a3,a4,a6]
Generators	[286:1327:8]	Generators of the group modulo torsion
j	30664297/3249	j-invariant
L	3.7236604149839	L(r)(E,1)/r!
Ω	1.1369518780902	Real period
R	3.2751257874158	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	44688cv2 8379n2 69825by2 57b1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2793c2

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
1	+	2	-	0	-6	6	-	4	2	-8	-10	2	-4	-12	-6	12	2	-4	0	-10	0	-16	2	-10

---

Quadratic twists for elliptic curve 2793c2

-4	-3	5	-7	-19
44688cv2	8379n2	69825by2	57b1	53067t2

---

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