Atkin-Lehner |
2- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
25760k |
Isogeny class |
Conductor |
25760 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
9169920 |
Modular degree for the optimal curve |
Δ |
1.7186890029907E+26 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 2 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-177778550,659270615000] |
[a1,a2,a3,a4,a6] |
j |
9709163613089309722873564864/2685451567173004150390625 |
j-invariant |
L |
3.1989457262155 |
L(r)(E,1)/r! |
Ω |
0.053315762103596 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25760m1 51520bp1 128800h1 |
Quadratic twists by: -4 8 5 |