Atkin-Lehner |
2+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
20150g |
Isogeny class |
Conductor |
20150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
1561625000000 = 26 · 59 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 2 13+ -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32867,-2284459] |
[a1,a2,a3,a4,a6] |
Generators |
[144138:10452431:27] |
Generators of the group modulo torsion |
j |
2010394559061/799552 |
j-invariant |
L |
3.9914916969822 |
L(r)(E,1)/r! |
Ω |
0.3545841225981 |
Real period |
R |
5.6284128964037 |
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 |
20150q1 |
Quadratic twists by: 5 |