Atkin-Lehner |
2- 3- 11- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
95238cn |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
85827746711596032 = 210 · 37 · 112 · 132 · 374 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-110750,1630509] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:3299:1] |
Generators of the group modulo torsion |
j |
206074242532329625/117733534583808 |
j-invariant |
L |
8.577853531809 |
L(r)(E,1)/r! |
Ω |
0.29202658631672 |
Real period |
R |
0.36716920378323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968445 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31746b2 |
Quadratic twists by: -3 |