Atkin-Lehner |
2- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
25168q |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
139392 |
Modular degree for the optimal curve |
Δ |
-102014248903424 = -1 · 28 · 119 · 132 |
Discriminant |
Eigenvalues |
2- 3 -1 -4 11+ 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10648,644204] |
[a1,a2,a3,a4,a6] |
Generators |
[3630:34606:27] |
Generators of the group modulo torsion |
j |
-221184/169 |
j-invariant |
L |
7.6839054866218 |
L(r)(E,1)/r! |
Ω |
0.54880094035583 |
Real period |
R |
1.7501576896078 |
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 |
6292b1 100672cd1 25168o1 |
Quadratic twists by: -4 8 -11 |