Atkin-Lehner |
2+ 3- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76752n |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
2006520781824 = 210 · 37 · 13 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 1 0 3 13- 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78627,8485778] |
[a1,a2,a3,a4,a6] |
Generators |
[163:18:1] |
Generators of the group modulo torsion |
j |
72013072989316/2687919 |
j-invariant |
L |
7.9620947326733 |
L(r)(E,1)/r! |
Ω |
0.7760940047851 |
Real period |
R |
1.2823985698494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977799 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38376g1 25584e1 |
Quadratic twists by: -4 -3 |