Atkin-Lehner |
2+ 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12720g |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
258877440 = 211 · 32 · 5 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 6 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160,160] |
[a1,a2,a3,a4,a6] |
j |
222569282/126405 |
j-invariant |
L |
3.0046850880447 |
L(r)(E,1)/r! |
Ω |
1.5023425440223 |
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 |
6360k2 50880du2 38160i2 63600w2 |
Quadratic twists by: -4 8 -3 5 |