Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610bc |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2826240 |
Modular degree for the optimal curve |
Δ |
-2.7227203457723E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -2 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3451626,457927668] |
[a1,a2,a3,a4,a6] |
j |
3463512697/2073600 |
j-invariant |
L |
2.8131634737146 |
L(r)(E,1)/r! |
Ω |
0.087911358570811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15870bj1 47610t1 |
Quadratic twists by: -3 -23 |