Atkin-Lehner |
2+ 3- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83952b |
Isogeny class |
Conductor |
83952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2375680 |
Modular degree for the optimal curve |
Δ |
-2.2714477514127E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-560046,742847015] |
[a1,a2,a3,a4,a6] |
j |
-1665510213736081408/19474003355732739 |
j-invariant |
L |
0.30038140386785 |
L(r)(E,1)/r! |
Ω |
0.15019076463023 |
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 |
41976e1 27984b1 |
Quadratic twists by: -4 -3 |