Atkin-Lehner |
3- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
30225bi |
Isogeny class |
Conductor |
30225 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
198720 |
Modular degree for the optimal curve |
Δ |
1578140286328125 = 33 · 58 · 136 · 31 |
Discriminant |
Eigenvalues |
0 3- 5- -4 -3 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-56583,-4834006] |
[a1,a2,a3,a4,a6] |
Generators |
[-1286:2921:8] |
Generators of the group modulo torsion |
j |
51289594101760/4040039133 |
j-invariant |
L |
4.0752199068 |
L(r)(E,1)/r! |
Ω |
0.3110933533785 |
Real period |
R |
2.1832781395803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
90675ce1 30225g1 |
Quadratic twists by: -3 5 |