Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
106134cg |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-2359959644574 = -1 · 2 · 34 · 79 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 4 3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5489,170813] |
[a1,a2,a3,a4,a6] |
j |
-430638553/55566 |
j-invariant |
L |
6.3416069493074 |
L(r)(E,1)/r! |
Ω |
0.7927008386304 |
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 |
15162be1 106134ba1 |
Quadratic twists by: -7 -19 |