Atkin-Lehner |
2+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
32200c |
Isogeny class |
Conductor |
32200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-69028750000 = -1 · 24 · 57 · 74 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,550,11625] |
[a1,a2,a3,a4,a6] |
j |
73598976/276115 |
j-invariant |
L |
1.5610849978246 |
L(r)(E,1)/r! |
Ω |
0.78054249891131 |
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 |
64400g1 6440e1 |
Quadratic twists by: -4 5 |