Atkin-Lehner |
2- 3- 5- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
56610ba |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
4644864 |
Modular degree for the optimal curve |
Δ |
-9.8571176679708E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4524178,3015261821] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:53299:1] |
Generators of the group modulo torsion |
j |
14048026714192574069351/13521423412854374400 |
j-invariant |
L |
8.1882696111685 |
L(r)(E,1)/r! |
Ω |
0.084737839846331 |
Real period |
R |
1.1503644689361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999327 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870l1 |
Quadratic twists by: -3 |