Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
104104v |
Isogeny class |
Conductor |
104104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
48773973248 = 28 · 7 · 115 · 132 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11+ 13+ -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-245873,46844227] |
[a1,a2,a3,a4,a6] |
Generators |
[286:1:1] |
Generators of the group modulo torsion |
j |
37995426980992000/1127357 |
j-invariant |
L |
3.489414876499 |
L(r)(E,1)/r! |
Ω |
0.82716047818348 |
Real period |
R |
2.1092732051739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104104d1 |
Quadratic twists by: 13 |