Atkin-Lehner |
2- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83810bj |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
396 |
Product of Tamagawa factors cp |
deg |
3421440 |
Modular degree for the optimal curve |
Δ |
-3111027200000000000 = -1 · 218 · 511 · 172 · 292 |
Discriminant |
Eigenvalues |
2- -3 5- -3 2 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-626547,209057619] |
[a1,a2,a3,a4,a6] |
Generators |
[-923:1086:1] [2827:143586:1] |
Generators of the group modulo torsion |
j |
-94120924444786664289/10764800000000000 |
j-invariant |
L |
9.9755589627388 |
L(r)(E,1)/r! |
Ω |
0.24568602472509 |
Real period |
R |
0.10253251274411 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83810bc1 |
Quadratic twists by: 17 |