Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
75690u |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
164994511680000 = 29 · 36 · 54 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 0 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-102339,-12560427] |
[a1,a2,a3,a4,a6] |
j |
229895296609/320000 |
j-invariant |
L |
2.1355776056756 |
L(r)(E,1)/r! |
Ω |
0.26694719769791 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8410k1 75690bm1 |
Quadratic twists by: -3 29 |