Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25872ce |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-57755584691659008 = -1 · 28 · 35 · 78 · 115 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,85636,6404712] |
[a1,a2,a3,a4,a6] |
Generators |
[139:4584:1] |
Generators of the group modulo torsion |
j |
47061251888/39135393 |
j-invariant |
L |
5.8461154273591 |
L(r)(E,1)/r! |
Ω |
0.22788853938451 |
Real period |
R |
5.1306796235989 |
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 |
6468b1 103488ey1 77616eq1 25872bl1 |
Quadratic twists by: -4 8 -3 -7 |