Atkin-Lehner |
2+ 5- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
10370d |
Isogeny class |
Conductor |
10370 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
8400 |
Modular degree for the optimal curve |
Δ |
-648125000 = -1 · 23 · 57 · 17 · 61 |
Discriminant |
Eigenvalues |
2+ 3 5- -1 3 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-349,-2707] |
[a1,a2,a3,a4,a6] |
j |
-4708686519081/648125000 |
j-invariant |
L |
3.836129373517 |
L(r)(E,1)/r! |
Ω |
0.548018481931 |
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 |
82960i1 93330bf1 51850s1 |
Quadratic twists by: -4 -3 5 |