Atkin-Lehner |
2- 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
76752cd |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-16810530048 = -1 · 28 · 36 · 133 · 41 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,393,-5470] |
[a1,a2,a3,a4,a6] |
j |
35969456/90077 |
j-invariant |
L |
0.63709149063023 |
L(r)(E,1)/r! |
Ω |
0.63709147794517 |
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 |
19188o1 8528e1 |
Quadratic twists by: -4 -3 |