Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690bo |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
36216460308271680 = 26 · 38 · 5 · 297 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-83417,1489529] |
[a1,a2,a3,a4,a6] |
j |
148035889/83520 |
j-invariant |
L |
3.7874813508137 |
L(r)(E,1)/r! |
Ω |
0.31562344378779 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25230g1 2610g1 |
Quadratic twists by: -3 29 |