Atkin-Lehner |
2+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7360a |
Isogeny class |
Conductor |
7360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-14720000 = -1 · 210 · 54 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5+ 0 -2 5 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,-185] |
[a1,a2,a3,a4,a6] |
Generators |
[42:275:1] |
Generators of the group modulo torsion |
j |
-256/14375 |
j-invariant |
L |
4.4975662421132 |
L(r)(E,1)/r! |
Ω |
1.0135105584063 |
Real period |
R |
2.2188058154941 |
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 |
7360r1 920d1 66240cu1 36800v1 |
Quadratic twists by: -4 8 -3 5 |