Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400ft |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-183926700000000 = -1 · 28 · 37 · 58 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -6 1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6000,627500] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:261:1] [-50:450:1] |
Generators of the group modulo torsion |
j |
327680/2523 |
j-invariant |
L |
10.111572480116 |
L(r)(E,1)/r! |
Ω |
0.41474187721906 |
Real period |
R |
0.5079249807786 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994228 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26100bf1 34800cr1 104400dy1 |
Quadratic twists by: -4 -3 5 |