Atkin-Lehner |
2- 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
66270v |
Isogeny class |
Conductor |
66270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4789565880468750 = 2 · 310 · 58 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -2 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29602620,61980763407] |
[a1,a2,a3,a4,a6] |
j |
27632526176252046076847/46132031250 |
j-invariant |
L |
2.2348218785657 |
L(r)(E,1)/r! |
Ω |
0.27935273457582 |
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 |
66270p2 |
Quadratic twists by: -47 |