Atkin-Lehner |
3+ 5- 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31395g |
Isogeny class |
Conductor |
31395 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8870814225 = 34 · 52 · 72 · 132 · 232 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1967,-34104] |
[a1,a2,a3,a4,a6] |
j |
842328957408121/8870814225 |
j-invariant |
L |
1.4345840050471 |
L(r)(E,1)/r! |
Ω |
0.71729200252581 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
94185p2 |
Quadratic twists by: -3 |