Atkin-Lehner |
2- 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
96628j |
Isogeny class |
Conductor |
96628 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-735918848 = -1 · 28 · 73 · 172 · 29 |
Discriminant |
Eigenvalues |
2- -3 -2 7- -6 -4 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,224,196] |
[a1,a2,a3,a4,a6] |
Generators |
[0:14:1] [4:34:1] |
Generators of the group modulo torsion |
j |
14155776/8381 |
j-invariant |
L |
4.7753103719216 |
L(r)(E,1)/r! |
Ω |
0.97603784724342 |
Real period |
R |
0.40771219275868 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96628q1 |
Quadratic twists by: -7 |