Atkin-Lehner |
2- 5- 41- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
108650q |
Isogeny class |
Conductor |
108650 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
278144000 = 210 · 53 · 41 · 53 |
Discriminant |
Eigenvalues |
2- -2 5- 0 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-173,337] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:15:1] [-8:39:1] |
Generators of the group modulo torsion |
j |
4582567781/2225152 |
j-invariant |
L |
12.278172966568 |
L(r)(E,1)/r! |
Ω |
1.5449763248321 |
Real period |
R |
1.5894318601554 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997718 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108650k1 |
Quadratic twists by: 5 |