Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25168ba |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-102014248903424 = -1 · 28 · 119 · 132 |
Discriminant |
Eigenvalues |
2- -1 3 2 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10971,-204983] |
[a1,a2,a3,a4,a6] |
Generators |
[664:17303:1] |
Generators of the group modulo torsion |
j |
321978368/224939 |
j-invariant |
L |
5.9065890514566 |
L(r)(E,1)/r! |
Ω |
0.33727292783859 |
Real period |
R |
1.094549207023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6292d1 100672dr1 2288f1 |
Quadratic twists by: -4 8 -11 |