Atkin-Lehner |
2- 3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270bw |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
1118953358820 = 22 · 32 · 5 · 118 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-43986,3546720] |
[a1,a2,a3,a4,a6] |
j |
5312655169849/631620 |
j-invariant |
L |
1.6732008423972 |
L(r)(E,1)/r! |
Ω |
0.83660051266808 |
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 |
9570k1 |
Quadratic twists by: -11 |