Atkin-Lehner |
2+ 11+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8294a |
Isogeny class |
Conductor |
8294 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
2756160 |
Modular degree for the optimal curve |
Δ |
-1.8913802557427E+26 |
Discriminant |
Eigenvalues |
2+ 1 3 -1 11+ 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,137993973,-220275835338] |
[a1,a2,a3,a4,a6] |
Generators |
[1564322550:-110830633649:941192] |
Generators of the group modulo torsion |
j |
290605662666279325370952010583/189138025574269452879570944 |
j-invariant |
L |
4.3118753773891 |
L(r)(E,1)/r! |
Ω |
0.032406866026466 |
Real period |
R |
11.087864769839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
66352q1 74646bx1 91234r1 107822m1 |
Quadratic twists by: -4 -3 -11 13 |