Atkin-Lehner |
5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
25205b |
Isogeny class |
Conductor |
25205 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-1789555 = -1 · 5 · 713 |
Discriminant |
Eigenvalues |
2 -2 5+ -1 6 -3 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,24,-39] |
[a1,a2,a3,a4,a6] |
j |
4096/5 |
j-invariant |
L |
2.8367569084032 |
L(r)(E,1)/r! |
Ω |
1.4183784542014 |
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 |
126025b1 25205a1 |
Quadratic twists by: 5 -71 |