Atkin-Lehner |
2+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
34528b |
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 |
[0:26:1] |
Generators of the group modulo torsion |
j |
-830584000/2370563 |
j-invariant |
L |
4.4163767173225 |
L(r)(E,1)/r! |
Ω |
1.6097264939127 |
Real period |
R |
0.34294465038188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34528c1 69056a1 |
Quadratic twists by: -4 8 |