Atkin-Lehner |
2+ 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072bm |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
564224 |
Modular degree for the optimal curve |
Δ |
-14891228646506496 = -1 · 215 · 319 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -3 4 -2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39777,6604479] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:2916:1] |
Generators of the group modulo torsion |
j |
-212412842820296/454444233597 |
j-invariant |
L |
7.1529305539509 |
L(r)(E,1)/r! |
Ω |
0.35037340943186 |
Real period |
R |
0.53724115335431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994582 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072f1 37536f1 |
Quadratic twists by: -4 8 |