Atkin-Lehner |
2- 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
103334ba |
Isogeny class |
Conductor |
103334 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-683386595584 = -1 · 28 · 72 · 114 · 612 |
Discriminant |
Eigenvalues |
2- -2 3 7+ 11- -1 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,421,-39599] |
[a1,a2,a3,a4,a6] |
Generators |
[90:809:1] |
Generators of the group modulo torsion |
j |
563553023/46676224 |
j-invariant |
L |
9.0985537654427 |
L(r)(E,1)/r! |
Ω |
0.43112610408521 |
Real period |
R |
0.65950496138732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103334t1 |
Quadratic twists by: -11 |