Atkin-Lehner |
2+ 11- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
127534g |
Isogeny class |
Conductor |
127534 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
-956019350528 = -1 · 210 · 116 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 0 0 4 11- -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,38,-47052] |
[a1,a2,a3,a4,a6] |
j |
3375/539648 |
j-invariant |
L |
0.81084211117261 |
L(r)(E,1)/r! |
Ω |
0.40542103155942 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1054a1 |
Quadratic twists by: -11 |