Atkin-Lehner |
2- 3- 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
114954cl |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
957347947584 = 26 · 38 · 73 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22324,1281104] |
[a1,a2,a3,a4,a6] |
Generators |
[74:-226:1] |
Generators of the group modulo torsion |
j |
3587127798112039/2791101888 |
j-invariant |
L |
11.537217387551 |
L(r)(E,1)/r! |
Ω |
0.87440523242074 |
Real period |
R |
0.2748824993895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919667 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114954by1 |
Quadratic twists by: -7 |