Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
25760g |
Isogeny class |
Conductor |
25760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
161000000 = 26 · 56 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -6 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-173,628] |
[a1,a2,a3,a4,a6] |
Generators |
[13:24:1] |
Generators of the group modulo torsion |
j |
8947094976/2515625 |
j-invariant |
L |
4.061408994819 |
L(r)(E,1)/r! |
Ω |
1.6935816614987 |
Real period |
R |
2.3981181936186 |
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 |
25760a1 51520bf2 128800b1 |
Quadratic twists by: -4 8 5 |