Atkin-Lehner |
2- 7- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85904t |
Isogeny class |
Conductor |
85904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
-13704780544 = -1 · 28 · 7 · 133 · 592 |
Discriminant |
Eigenvalues |
2- -2 3 7- 0 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29,5623] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:59:1] |
Generators of the group modulo torsion |
j |
-10903552/53534299 |
j-invariant |
L |
5.5170481821822 |
L(r)(E,1)/r! |
Ω |
1.0067343642471 |
Real period |
R |
1.3700357244803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010622 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21476b1 |
Quadratic twists by: -4 |