Atkin-Lehner |
5+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
52325k |
Isogeny class |
Conductor |
52325 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
330880 |
Modular degree for the optimal curve |
Δ |
9237823377453125 = 56 · 711 · 13 · 23 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- -5 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-89383,9157769] |
[a1,a2,a3,a4,a6] |
Generators |
[-217:4287:1] |
Generators of the group modulo torsion |
j |
5054443262672896/591220696157 |
j-invariant |
L |
1.9963554250344 |
L(r)(E,1)/r! |
Ω |
0.3967160198812 |
Real period |
R |
0.22873648621596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997185 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2093b1 |
Quadratic twists by: 5 |