Atkin-Lehner |
2- 3- 5+ 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
96570t |
Isogeny class |
Conductor |
96570 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
108025544401920 = 210 · 312 · 5 · 29 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16268,-618609] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:267:1] |
Generators of the group modulo torsion |
j |
653090921929081/148183188480 |
j-invariant |
L |
11.01462771601 |
L(r)(E,1)/r! |
Ω |
0.42961446584463 |
Real period |
R |
1.2819200224291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32190f1 |
Quadratic twists by: -3 |