Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25992v |
Isogeny class |
Conductor |
25992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
3840162048 = 28 · 37 · 193 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -2 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-399,722] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:38:1] |
Generators of the group modulo torsion |
j |
5488/3 |
j-invariant |
L |
5.0449155504387 |
L(r)(E,1)/r! |
Ω |
1.2151726946518 |
Real period |
R |
1.0379009445823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51984j1 8664a1 25992e1 |
Quadratic twists by: -4 -3 -19 |