Atkin-Lehner |
2- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
66640bi |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-548809055200000 = -1 · 28 · 55 · 79 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -2 -1 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-430808,-108842132] |
[a1,a2,a3,a4,a6] |
j |
-855958413312/53125 |
j-invariant |
L |
1.4907917696372 |
L(r)(E,1)/r! |
Ω |
0.093174485209649 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16660b1 66640bz1 |
Quadratic twists by: -4 -7 |