Cremona's table of elliptic curves

196 = 2² · 7²

Field	Data	Notes
Atkin-Lehner	2- 7+	Signs for the Atkin-Lehner involutions
Class	196b	Isogeny class
Conductor	196	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	92236816 = 24 · 78	Discriminant
Eigenvalues	2-  1  3 7+ -3  2  3 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-6974,-226507]	[a1,a2,a3,a4,a6]
j	406749952	j-invariant
L	1.5672749721049	L(r)(E,1)/r!
Ω	0.52242499070162	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	784g2 3136b2 1764e2 4900a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 196b2

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	3	+	-3	2	3	-1	3	-6	-7	-1	6	-4	-9	3	9	-1	-7	0	-1	-13	12	15	-10

---

Quadratic twists for elliptic curve 196b2

-4	8	-3	5	-7	-11	13	17	-19	-23
784g2	3136b2	1764e2	4900a2	196a2	23716a2	33124c2	56644b2	70756a2	103684a2

---

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