Atkin-Lehner |
3+ 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44835j |
Isogeny class |
Conductor |
44835 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3234816 |
Modular degree for the optimal curve |
Δ |
9.3854711035053E+22 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 3 -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-14368335,-14901582382] |
[a1,a2,a3,a4,a6] |
Generators |
[-115171997685668:-3565698802265882:88180545851] |
Generators of the group modulo torsion |
j |
2788398481286706724864/797751880891915005 |
j-invariant |
L |
3.9455293396044 |
L(r)(E,1)/r! |
Ω |
0.07923332583522 |
Real period |
R |
24.898168150924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6405k1 |
Quadratic twists by: -7 |