Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25168z |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
4253392 = 24 · 112 · 133 |
Discriminant |
Eigenvalues |
2- -1 0 -4 11- 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73,-196] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4:1] |
Generators of the group modulo torsion |
j |
22528000/2197 |
j-invariant |
L |
2.8938990037611 |
L(r)(E,1)/r! |
Ω |
1.6416806528839 |
Real period |
R |
1.7627661011156 |
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 |
6292c1 100672dn1 25168bn1 |
Quadratic twists by: -4 8 -11 |