Atkin-Lehner |
5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
51425bm |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
327360 |
Modular degree for the optimal curve |
Δ |
7117384720703125 = 59 · 118 · 17 |
Discriminant |
Eigenvalues |
-2 1 5- 0 11- -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-55458,2946994] |
[a1,a2,a3,a4,a6] |
j |
45056/17 |
j-invariant |
L |
0.7655084801205 |
L(r)(E,1)/r! |
Ω |
0.38275424019652 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51425bi1 51425bh1 |
Quadratic twists by: 5 -11 |