Atkin-Lehner |
2+ 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
55104bp |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-6482930496 = -1 · 26 · 3 · 77 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -2 1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3732,-89094] |
[a1,a2,a3,a4,a6] |
j |
-89843157911872/101295789 |
j-invariant |
L |
2.1376821691739 |
L(r)(E,1)/r! |
Ω |
0.30538316705842 |
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 |
55104h1 27552e1 |
Quadratic twists by: -4 8 |