Atkin-Lehner |
2+ 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125120bg |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
300 |
Product of Tamagawa factors cp |
deg |
5760000 |
Modular degree for the optimal curve |
Δ |
-4.5286424887951E+20 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 -2 -3 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19092812,32127254384] |
[a1,a2,a3,a4,a6] |
Generators |
[-5042:14720:1] [2893:33235:1] |
Generators of the group modulo torsion |
j |
-2936253036372507983529/1727540011900000 |
j-invariant |
L |
10.507442144086 |
L(r)(E,1)/r! |
Ω |
0.16490329647997 |
Real period |
R |
0.21239603995928 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995368 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120cw1 3910c1 |
Quadratic twists by: -4 8 |