Atkin-Lehner |
2- 11+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
121264f |
Isogeny class |
Conductor |
121264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
794880 |
Modular degree for the optimal curve |
Δ |
-313156779094016 = -1 · 212 · 115 · 132 · 532 |
Discriminant |
Eigenvalues |
2- 3 -3 4 11+ 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12416,-664336] |
[a1,a2,a3,a4,a6] |
j |
51678378196992/76454291771 |
j-invariant |
L |
4.6112304106579 |
L(r)(E,1)/r! |
Ω |
0.28820190351995 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7579d1 |
Quadratic twists by: -4 |