Atkin-Lehner |
2- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5194l |
Isogeny class |
Conductor |
5194 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
4888551248 = 24 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 2 4 7+ -3 -1 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5881,-176009] |
[a1,a2,a3,a4,a6] |
j |
3902092369/848 |
j-invariant |
L |
6.5421919884882 |
L(r)(E,1)/r! |
Ω |
0.54518266570735 |
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 |
41552u1 46746g1 129850d1 5194p1 |
Quadratic twists by: -4 -3 5 -7 |