Atkin-Lehner |
2+ 5- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
10370b |
Isogeny class |
Conductor |
10370 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
4080 |
Modular degree for the optimal curve |
Δ |
-1198772000 = -1 · 25 · 53 · 173 · 61 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 -3 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,247,748] |
[a1,a2,a3,a4,a6] |
j |
1676253304439/1198772000 |
j-invariant |
L |
0.97667236828728 |
L(r)(E,1)/r! |
Ω |
0.97667236828728 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
82960g1 93330be1 51850p1 |
Quadratic twists by: -4 -3 5 |