Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12432g |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
114902601628752 = 24 · 310 · 74 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 0 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12915,-226314] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:518:1] |
Generators of the group modulo torsion |
j |
14890887676143616/7181412601797 |
j-invariant |
L |
2.57576492512 |
L(r)(E,1)/r! |
Ω |
0.4699183550337 |
Real period |
R |
0.91355051273937 |
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 |
6216j1 49728eu1 37296bg1 87024bn1 |
Quadratic twists by: -4 8 -3 -7 |