Atkin-Lehner |
2- 7- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
100912bg |
Isogeny class |
Conductor |
100912 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
25833472 = 212 · 7 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 5 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1904,-32620] |
[a1,a2,a3,a4,a6] |
Generators |
[-5538:17:216] |
Generators of the group modulo torsion |
j |
186463002097/6307 |
j-invariant |
L |
7.220284691548 |
L(r)(E,1)/r! |
Ω |
0.72271104794814 |
Real period |
R |
4.9952776569544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999876031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6307e1 |
Quadratic twists by: -4 |