Atkin-Lehner |
2+ 5+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
37720b |
Isogeny class |
Conductor |
37720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
347024000000 = 210 · 56 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 -4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6896,216304] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:500:1] [12:368:1] |
Generators of the group modulo torsion |
j |
35422441371076/338890625 |
j-invariant |
L |
5.834839889009 |
L(r)(E,1)/r! |
Ω |
0.96360394504933 |
Real period |
R |
3.0276131179138 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75440d1 |
Quadratic twists by: -4 |