Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
5520bc |
Isogeny class |
Conductor |
5520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-8682209280000 = -1 · 226 · 32 · 54 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2744,131444] |
[a1,a2,a3,a4,a6] |
j |
557644990391/2119680000 |
j-invariant |
L |
2.0879397692566 |
L(r)(E,1)/r! |
Ω |
0.52198494231415 |
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 |
690a1 22080cj1 16560bv1 27600bj1 |
Quadratic twists by: -4 8 -3 5 |