Atkin-Lehner |
2+ 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072bq |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
449884274688 = 214 · 35 · 173 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 -6 5 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2517,-37197] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:51:1] |
Generators of the group modulo torsion |
j |
107677745152/27458757 |
j-invariant |
L |
10.025676957226 |
L(r)(E,1)/r! |
Ω |
0.68667807818053 |
Real period |
R |
0.97335051900481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000431 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072ck1 4692b1 |
Quadratic twists by: -4 8 |