Atkin-Lehner |
2- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23030u |
Isogeny class |
Conductor |
23030 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
3963547750400 = 212 · 52 · 77 · 47 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9442,342241] |
[a1,a2,a3,a4,a6] |
j |
791196465249/33689600 |
j-invariant |
L |
4.6517540225921 |
L(r)(E,1)/r! |
Ω |
0.77529233709869 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
115150n1 3290f1 |
Quadratic twists by: 5 -7 |