Atkin-Lehner |
2- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
34528c |
Isogeny class |
Conductor |
34528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-151716032 = -1 · 26 · 134 · 83 |
Discriminant |
Eigenvalues |
2- 1 0 -3 5 13- 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-78,-676] |
[a1,a2,a3,a4,a6] |
Generators |
[13:26:1] |
Generators of the group modulo torsion |
j |
-830584000/2370563 |
j-invariant |
L |
6.295515784827 |
L(r)(E,1)/r! |
Ω |
0.74328156812811 |
Real period |
R |
1.058736697972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34528b1 69056e1 |
Quadratic twists by: -4 8 |