Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608dd |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
4803755507712 = 218 · 39 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -2 6 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32940,-2298672] |
[a1,a2,a3,a4,a6] |
Generators |
[4272:278964:1] |
Generators of the group modulo torsion |
j |
766060875/931 |
j-invariant |
L |
7.1874053843442 |
L(r)(E,1)/r! |
Ω |
0.35440541463831 |
Real period |
R |
5.070044847468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982431 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608i1 19152be1 76608dc1 |
Quadratic twists by: -4 8 -3 |