Atkin-Lehner |
2+ 3+ 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
26130a |
Isogeny class |
Conductor |
26130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-36070140092238720 = -1 · 27 · 38 · 5 · 134 · 673 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -3 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-134368,20989312] |
[a1,a2,a3,a4,a6] |
Generators |
[439:6625:1] |
Generators of the group modulo torsion |
j |
-268297311739021269769/36070140092238720 |
j-invariant |
L |
1.9942936240957 |
L(r)(E,1)/r! |
Ω |
0.35479518710927 |
Real period |
R |
1.4052428672613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78390bv1 |
Quadratic twists by: -3 |