Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
96600bc |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1700676810000000000 = 210 · 38 · 510 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2717408,-1723935312] |
[a1,a2,a3,a4,a6] |
Generators |
[1972:24288:1] |
Generators of the group modulo torsion |
j |
138697437757771876/106292300625 |
j-invariant |
L |
8.3009816694217 |
L(r)(E,1)/r! |
Ω |
0.11759282078422 |
Real period |
R |
4.4119305138148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002224 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19320m2 |
Quadratic twists by: 5 |