Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
125840cs |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-22797233804533760 = -1 · 213 · 5 · 117 · 134 |
Discriminant |
Eigenvalues |
2- -3 5- -1 11- 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-109747,15767026] |
[a1,a2,a3,a4,a6] |
Generators |
[55:3146:1] |
Generators of the group modulo torsion |
j |
-20145851361/3141710 |
j-invariant |
L |
4.4214243425437 |
L(r)(E,1)/r! |
Ω |
0.36722099351317 |
Real period |
R |
0.75251422453716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008745 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15730p1 11440n1 |
Quadratic twists by: -4 -11 |