Atkin-Lehner |
2+ 3- 5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57720q |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
692640000 = 28 · 32 · 54 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2540,-50112] |
[a1,a2,a3,a4,a6] |
j |
7081999104976/2705625 |
j-invariant |
L |
2.6899662281498 |
L(r)(E,1)/r! |
Ω |
0.67249155587228 |
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 |
115440q2 |
Quadratic twists by: -4 |