Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688db |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
485876982484992 = 212 · 3 · 78 · 193 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 2 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-337920,75488244] |
[a1,a2,a3,a4,a6] |
j |
8855610342769/1008273 |
j-invariant |
L |
2.015485462096 |
L(r)(E,1)/r! |
Ω |
0.50387136557204 |
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 |
2793d1 6384z1 |
Quadratic twists by: -4 -7 |