Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610q |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-35742495612427200 = -1 · 26 · 38 · 52 · 237 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18945,9035725] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:2435:1] |
Generators of the group modulo torsion |
j |
6967871/331200 |
j-invariant |
L |
3.4854438948017 |
L(r)(E,1)/r! |
Ω |
0.27819157914824 |
Real period |
R |
0.78305836607948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15870bc1 2070h1 |
Quadratic twists by: -3 -23 |