Atkin-Lehner |
2- 3- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
101232bk |
Isogeny class |
Conductor |
101232 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
8754012923756544 = 217 · 36 · 195 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 -5 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88419,-9063326] |
[a1,a2,a3,a4,a6] |
Generators |
[-207:608:1] [-169:1026:1] |
Generators of the group modulo torsion |
j |
25601949246817/2931701216 |
j-invariant |
L |
7.3635516394705 |
L(r)(E,1)/r! |
Ω |
0.27892693366933 |
Real period |
R |
0.65998929746619 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994535 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12654c1 11248n1 |
Quadratic twists by: -4 -3 |