Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
3600bg |
Isogeny class |
Conductor |
3600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-125971200 = -1 · 28 · 39 · 52 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 6 -5 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120,-740] |
[a1,a2,a3,a4,a6] |
Generators |
[14:18:1] |
Generators of the group modulo torsion |
j |
-40960/27 |
j-invariant |
L |
3.4998060736814 |
L(r)(E,1)/r! |
Ω |
0.70054357063313 |
Real period |
R |
1.2489608856585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
900d1 14400dv1 1200o1 3600bl1 |
Quadratic twists by: -4 8 -3 5 |