Atkin-Lehner |
2+ 3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040a |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
4253770235520000 = 210 · 34 · 54 · 136 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-281016,-57158784] |
[a1,a2,a3,a4,a6] |
Generators |
[-314:150:1] |
Generators of the group modulo torsion |
j |
2396726313900986596/4154072495625 |
j-invariant |
L |
4.3041126618638 |
L(r)(E,1)/r! |
Ω |
0.20737761596269 |
Real period |
R |
2.5943691185491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26520y1 |
Quadratic twists by: -4 |