Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10350w |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-90541800000000 = -1 · 29 · 39 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 0 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5742,488916] |
[a1,a2,a3,a4,a6] |
j |
-73530625/317952 |
j-invariant |
L |
1.0504308303974 |
L(r)(E,1)/r! |
Ω |
0.52521541519872 |
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 |
82800ez1 3450ba1 10350bk1 |
Quadratic twists by: -4 -3 5 |