Atkin-Lehner |
2+ 5- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
10370b |
Isogeny class |
Conductor |
10370 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-632205639680 = -1 · 215 · 5 · 17 · 613 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 -3 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2728,-67082] |
[a1,a2,a3,a4,a6] |
j |
-2244026295219961/632205639680 |
j-invariant |
L |
0.97667236828728 |
L(r)(E,1)/r! |
Ω |
0.32555745609576 |
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 |
82960g2 93330be2 51850p2 |
Quadratic twists by: -4 -3 5 |