Atkin-Lehner |
3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
25857a |
Isogeny class |
Conductor |
25857 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16416 |
Modular degree for the optimal curve |
Δ |
-2215505331 = -1 · 33 · 136 · 17 |
Discriminant |
Eigenvalues |
2 3+ 1 2 3 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-507,4943] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:599:8] |
Generators of the group modulo torsion |
j |
-110592/17 |
j-invariant |
L |
12.562020354677 |
L(r)(E,1)/r! |
Ω |
1.4107788711758 |
Real period |
R |
4.4521578155646 |
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 |
25857b1 153a1 |
Quadratic twists by: -3 13 |