Atkin-Lehner |
2+ 3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
97680m |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3563520 |
Modular degree for the optimal curve |
Δ |
162637200000000 = 210 · 33 · 58 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38671776,92550508740] |
[a1,a2,a3,a4,a6] |
Generators |
[29386:69375:8] |
Generators of the group modulo torsion |
j |
6246059531392119397825156/158825390625 |
j-invariant |
L |
7.3573824583996 |
L(r)(E,1)/r! |
Ω |
0.3016171498328 |
Real period |
R |
2.0327597608776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917786 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48840b1 |
Quadratic twists by: -4 |