Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600bq |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
183517224349388800 = 212 · 52 · 1311 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-265893,-48669997] |
[a1,a2,a3,a4,a6] |
j |
4206161920/371293 |
j-invariant |
L |
0.84571381004209 |
L(r)(E,1)/r! |
Ω |
0.21142845209725 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4225c1 67600cz2 5200w1 |
Quadratic twists by: -4 5 13 |