Atkin-Lehner |
2- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54910bk |
Isogeny class |
Conductor |
54910 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
396576 |
Modular degree for the optimal curve |
Δ |
-6446715996674560 = -1 · 29 · 5 · 178 · 192 |
Discriminant |
Eigenvalues |
2- 2 5- 1 -5 1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,22825,3637357] |
[a1,a2,a3,a4,a6] |
Generators |
[-1095:44462:27] |
Generators of the group modulo torsion |
j |
188522639/924160 |
j-invariant |
L |
14.616812671037 |
L(r)(E,1)/r! |
Ω |
0.30381934939195 |
Real period |
R |
0.89092981296758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54910y1 |
Quadratic twists by: 17 |