Atkin-Lehner |
2- 3- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
66780o |
Isogeny class |
Conductor |
66780 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1675296 |
Modular degree for the optimal curve |
Δ |
-7167163500000000 = -1 · 28 · 36 · 59 · 7 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 1 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7680672,-8193076236] |
[a1,a2,a3,a4,a6] |
j |
-268505926473006710784/38404296875 |
j-invariant |
L |
0.81619186815636 |
L(r)(E,1)/r! |
Ω |
0.045343991849438 |
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 |
7420b1 |
Quadratic twists by: -3 |