Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
27720q |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
72328422387513600 = 28 · 38 · 52 · 76 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-374727,87338554] |
[a1,a2,a3,a4,a6] |
j |
31181799673942864/387562277025 |
j-invariant |
L |
2.7749367744021 |
L(r)(E,1)/r! |
Ω |
0.34686709680025 |
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 |
55440bj2 9240z2 |
Quadratic twists by: -4 -3 |