Atkin-Lehner |
2- 5+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
117040bn |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
41287680 |
Modular degree for the optimal curve |
Δ |
-2.4810710923989E+26 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,135079384,457405525684] |
[a1,a2,a3,a4,a6] |
j |
66547382076648991230356951/60573024716770424320000 |
j-invariant |
L |
0.57963646925023 |
L(r)(E,1)/r! |
Ω |
0.036227333378793 |
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 |
14630b1 |
Quadratic twists by: -4 |