Atkin-Lehner |
2+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
51680c |
Isogeny class |
Conductor |
51680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
17723656000 = 26 · 53 · 17 · 194 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -6 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2713,-54012] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:6:1] |
Generators of the group modulo torsion |
j |
34505880935616/276932125 |
j-invariant |
L |
3.9268275450046 |
L(r)(E,1)/r! |
Ω |
0.66183130636874 |
Real period |
R |
2.9666378026982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51680h1 103360bb2 |
Quadratic twists by: -4 8 |