Atkin-Lehner |
2- 3- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
66780g |
Isogeny class |
Conductor |
66780 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
582912 |
Modular degree for the optimal curve |
Δ |
-638959387500000000 = -1 · 28 · 39 · 511 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 0 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-220008,55287668] |
[a1,a2,a3,a4,a6] |
j |
-6310614306512896/3423779296875 |
j-invariant |
L |
2.1430850190617 |
L(r)(E,1)/r! |
Ω |
0.26788562591413 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22260d1 |
Quadratic twists by: -3 |