Atkin-Lehner |
5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
62465b |
Isogeny class |
Conductor |
62465 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-22341480725766995 = -1 · 5 · 132 · 319 |
Discriminant |
Eigenvalues |
0 -1 5+ 2 0 13+ -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-30111,-7457298] |
[a1,a2,a3,a4,a6] |
Generators |
[258:1371:1] [2090:12489:8] |
Generators of the group modulo torsion |
j |
-3402072064/25173395 |
j-invariant |
L |
6.8132565760941 |
L(r)(E,1)/r! |
Ω |
0.16033088640862 |
Real period |
R |
10.623743073925 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2015a1 |
Quadratic twists by: -31 |