Atkin-Lehner |
2+ 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
25578f |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-386375790624768 = -1 · 222 · 33 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-100263,-12231171] |
[a1,a2,a3,a4,a6] |
Generators |
[1549:58785:1] |
Generators of the group modulo torsion |
j |
-35091039199419/121634816 |
j-invariant |
L |
2.9565064002666 |
L(r)(E,1)/r! |
Ω |
0.13412015817803 |
Real period |
R |
5.5109284846319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25578bc1 522b1 |
Quadratic twists by: -3 -7 |