Atkin-Lehner |
2+ 3- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77520y |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
1595129040 = 24 · 32 · 5 · 17 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-375,-2160] |
[a1,a2,a3,a4,a6] |
j |
365472864256/99695565 |
j-invariant |
L |
4.4275140065696 |
L(r)(E,1)/r! |
Ω |
1.1068785103006 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38760v1 |
Quadratic twists by: -4 |