Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
5520p |
Isogeny class |
Conductor |
5520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-190771200 = -1 · 212 · 34 · 52 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,144,0] |
[a1,a2,a3,a4,a6] |
Generators |
[8:40:1] |
Generators of the group modulo torsion |
j |
80062991/46575 |
j-invariant |
L |
2.7260505425494 |
L(r)(E,1)/r! |
Ω |
1.0808800580354 |
Real period |
R |
0.63051643017271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
345d1 22080dd1 16560by1 27600cp1 |
Quadratic twists by: -4 8 -3 5 |