Atkin-Lehner |
2+ 3+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
53328b |
Isogeny class |
Conductor |
53328 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
287231433984 = 28 · 32 · 112 · 1013 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -2 11+ 3 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6457,-195899] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:33:1] [132:1111:1] |
Generators of the group modulo torsion |
j |
116317045869568/1121997789 |
j-invariant |
L |
6.6231747597207 |
L(r)(E,1)/r! |
Ω |
0.53289194459711 |
Real period |
R |
1.0357282289075 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26664f1 |
Quadratic twists by: -4 |