Atkin-Lehner |
2+ 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072bp |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
22543220736 = 214 · 32 · 172 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6257,-192465] |
[a1,a2,a3,a4,a6] |
Generators |
[858483:9923760:4913] |
Generators of the group modulo torsion |
j |
1653756808912/1375929 |
j-invariant |
L |
10.389597990178 |
L(r)(E,1)/r! |
Ω |
0.53681411101382 |
Real period |
R |
9.67709098631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000014 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
75072cj2 9384a2 |
Quadratic twists by: -4 8 |