Atkin-Lehner |
2+ 3+ 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
26130d |
Isogeny class |
Conductor |
26130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-35311062113437500 = -1 · 22 · 310 · 57 · 134 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,81672,-981972] |
[a1,a2,a3,a4,a6] |
j |
60246937542737686391/35311062113437500 |
j-invariant |
L |
0.43179983916101 |
L(r)(E,1)/r! |
Ω |
0.21589991958066 |
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 |
78390cc1 |
Quadratic twists by: -3 |