Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82418a |
Isogeny class |
Conductor |
82418 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-2078137034626601984 = -1 · 210 · 76 · 297 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- 3 1 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,205187,-59334211] |
[a1,a2,a3,a4,a6] |
j |
13651919/29696 |
j-invariant |
L |
1.0856043530869 |
L(r)(E,1)/r! |
Ω |
0.1357005555543 |
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 |
1682a1 2842e1 |
Quadratic twists by: -7 29 |