Atkin-Lehner |
3- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
25389g |
Isogeny class |
Conductor |
25389 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1304315417305644471 = 37 · 710 · 133 · 312 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 2 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-414059,-86484652] |
[a1,a2,a3,a4,a6] |
j |
10769161433873320297/1789184385878799 |
j-invariant |
L |
2.2839619794641 |
L(r)(E,1)/r! |
Ω |
0.19033016495534 |
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 |
8463h2 |
Quadratic twists by: -3 |