Atkin-Lehner |
3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
58275j |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-5348661609375 = -1 · 36 · 56 · 73 · 372 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1167,112616] |
[a1,a2,a3,a4,a6] |
Generators |
[88:784:1] |
Generators of the group modulo torsion |
j |
-15438249/469567 |
j-invariant |
L |
4.7085089437004 |
L(r)(E,1)/r! |
Ω |
0.63771539511353 |
Real period |
R |
3.6917008588269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000095 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6475a1 2331g1 |
Quadratic twists by: -3 5 |