Atkin-Lehner |
2+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
25480i |
Isogeny class |
Conductor |
25480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
117509703584000 = 28 · 53 · 710 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 6 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23340,-1277312] |
[a1,a2,a3,a4,a6] |
j |
46689225424/3901625 |
j-invariant |
L |
2.3298442093625 |
L(r)(E,1)/r! |
Ω |
0.38830736822709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50960m1 127400br1 3640d1 |
Quadratic twists by: -4 5 -7 |