Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25480k |
Isogeny class |
Conductor |
25480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
7053519957629600000 = 28 · 55 · 714 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -2 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-506676,54415460] |
[a1,a2,a3,a4,a6] |
Generators |
[66764:17249862:1] |
Generators of the group modulo torsion |
j |
477625344356176/234195040625 |
j-invariant |
L |
6.9580907263486 |
L(r)(E,1)/r! |
Ω |
0.20956457608424 |
Real period |
R |
8.3006523053204 |
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 |
50960b1 127400n1 3640j1 |
Quadratic twists by: -4 5 -7 |