Atkin-Lehner |
2- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66640by |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-1798337512079360000 = -1 · 222 · 54 · 79 · 17 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -2 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-113827,-66191454] |
[a1,a2,a3,a4,a6] |
j |
-338463151209/3731840000 |
j-invariant |
L |
0.89973508751983 |
L(r)(E,1)/r! |
Ω |
0.11246688673305 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8330j1 9520g1 |
Quadratic twists by: -4 -7 |