Atkin-Lehner |
2+ 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
10950f |
Isogeny class |
Conductor |
10950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
21286800000000 = 210 · 36 · 58 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -6 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8150,172500] |
[a1,a2,a3,a4,a6] |
j |
3832302404449/1362355200 |
j-invariant |
L |
1.2483267333128 |
L(r)(E,1)/r! |
Ω |
0.62416336665641 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87600cn1 32850bu1 2190n1 |
Quadratic twists by: -4 -3 5 |