Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050ed |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
2365459200 = 28 · 37 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 3 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2840,58907] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-35:1] |
Generators of the group modulo torsion |
j |
822206905/768 |
j-invariant |
L |
11.084990684182 |
L(r)(E,1)/r! |
Ω |
1.4451411752068 |
Real period |
R |
0.23970388838142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350y1 76050cf1 76050z1 |
Quadratic twists by: -3 5 13 |