Atkin-Lehner |
2+ 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
55104h |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
1 |
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 |
1.3313758771018 |
L(r)(E,1)/r! |
Ω |
1.3313758754711 |
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 |
55104bp1 27552x1 |
Quadratic twists by: -4 8 |