Atkin-Lehner |
2+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
25760c |
Isogeny class |
Conductor |
25760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
257600 = 26 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50,152] |
[a1,a2,a3,a4,a6] |
Generators |
[22:96:1] |
Generators of the group modulo torsion |
j |
220348864/4025 |
j-invariant |
L |
8.5021775726897 |
L(r)(E,1)/r! |
Ω |
3.1119455794566 |
Real period |
R |
2.7321099793057 |
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 |
25760l1 51520i1 128800bc1 |
Quadratic twists by: -4 8 5 |