Atkin-Lehner |
3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56925bg |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
180000 |
Modular degree for the optimal curve |
Δ |
1687713823125 = 36 · 54 · 115 · 23 |
Discriminant |
Eigenvalues |
-2 3- 5- -3 11+ 6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-24825,1504206] |
[a1,a2,a3,a4,a6] |
j |
3713504358400/3704173 |
j-invariant |
L |
0.83646170466733 |
L(r)(E,1)/r! |
Ω |
0.83646170491021 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6325g1 56925n2 |
Quadratic twists by: -3 5 |