Atkin-Lehner |
2- 3- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
85932bc |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3525120 |
Modular degree for the optimal curve |
Δ |
-1.5193788899716E+21 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11- -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-745176,-1891661308] |
[a1,a2,a3,a4,a6] |
Generators |
[900620:75700818:125] |
Generators of the group modulo torsion |
j |
-245206961444036608/8141390656998291 |
j-invariant |
L |
8.699520938084 |
L(r)(E,1)/r! |
Ω |
0.065680879346461 |
Real period |
R |
5.5188061209423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000333 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28644b1 |
Quadratic twists by: -3 |