Atkin-Lehner |
2- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
39710t |
Isogeny class |
Conductor |
39710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
475897313843600 = 24 · 52 · 113 · 197 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11+ 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-192601,32500905] |
[a1,a2,a3,a4,a6] |
Generators |
[-464:4925:1] |
Generators of the group modulo torsion |
j |
16794916941529/10115600 |
j-invariant |
L |
6.4987921342475 |
L(r)(E,1)/r! |
Ω |
0.51948884022055 |
Real period |
R |
3.1274936202161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2090b1 |
Quadratic twists by: -19 |