Atkin-Lehner |
2- 3- 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
108528bh |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
879837447573504 = 212 · 36 · 7 · 17 · 195 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 0 5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25845,713187] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:1083:1] |
Generators of the group modulo torsion |
j |
466133351366656/214804064349 |
j-invariant |
L |
9.8579254510906 |
L(r)(E,1)/r! |
Ω |
0.4468264041986 |
Real period |
R |
0.73540308136168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016888 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6783b1 |
Quadratic twists by: -4 |