Atkin-Lehner |
2- 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
76752bu |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-1411546587070464 = -1 · 219 · 36 · 133 · 412 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -2 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243723,46347194] |
[a1,a2,a3,a4,a6] |
j |
-536198730680521/472724096 |
j-invariant |
L |
1.9070524094457 |
L(r)(E,1)/r! |
Ω |
0.47676309511972 |
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 |
9594s1 8528c1 |
Quadratic twists by: -4 -3 |