Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2352v |
Isogeny class |
Conductor |
2352 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
22131775991808 = 212 · 38 · 77 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30592,2036852] |
[a1,a2,a3,a4,a6] |
j |
6570725617/45927 |
j-invariant |
L |
2.7280895434241 |
L(r)(E,1)/r! |
Ω |
0.68202238585602 |
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 |
147a3 9408cd4 7056bx3 58800gb3 |
Quadratic twists by: -4 8 -3 5 |