Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
75690x |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-9.4400559673963E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-151368804,-46751560568240] |
[a1,a2,a3,a4,a6] |
j |
-36267977929301/89261680665600 |
j-invariant |
L |
2.5285946152863 |
L(r)(E,1)/r! |
Ω |
0.01264297315487 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25230r4 75690bs4 |
Quadratic twists by: -3 29 |