Atkin-Lehner |
5+ 7- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
24115a |
Isogeny class |
Conductor |
24115 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-2498376372803508925 = -1 · 52 · 78 · 133 · 534 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,152425,72478350] |
[a1,a2,a3,a4,a6] |
j |
391643317334579964471/2498376372803508925 |
j-invariant |
L |
2.2387105482427 |
L(r)(E,1)/r! |
Ω |
0.18655921235356 |
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 |
120575b3 |
Quadratic twists by: 5 |