Atkin-Lehner |
2- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
85312n |
Isogeny class |
Conductor |
85312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
698875904 = 219 · 31 · 43 |
Discriminant |
Eigenvalues |
2- -2 1 0 -5 5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,-353] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:32:1] [21:68:1] |
Generators of the group modulo torsion |
j |
4826809/2666 |
j-invariant |
L |
8.207821132015 |
L(r)(E,1)/r! |
Ω |
1.3191593206861 |
Real period |
R |
1.5555022436744 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995739 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85312k1 21328i1 |
Quadratic twists by: -4 8 |