Atkin-Lehner |
2- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
112112bm |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-6587123944104704 = -1 · 28 · 712 · 11 · 132 |
Discriminant |
Eigenvalues |
2- -1 3 7- 11- 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133149,-19059599] |
[a1,a2,a3,a4,a6] |
j |
-8667872124928/218709491 |
j-invariant |
L |
0.99822304472032 |
L(r)(E,1)/r! |
Ω |
0.1247778717475 |
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 |
28028d1 16016n1 |
Quadratic twists by: -4 -7 |