Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
34656s |
Isogeny class |
Conductor |
34656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-3260844103872 = -1 · 26 · 3 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 6 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-842,87108] |
[a1,a2,a3,a4,a6] |
Generators |
[498:7550:27] |
Generators of the group modulo torsion |
j |
-21952/1083 |
j-invariant |
L |
8.0573739958829 |
L(r)(E,1)/r! |
Ω |
0.65978182181136 |
Real period |
R |
6.1060897174788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34656i1 69312cu2 103968ci1 1824f1 |
Quadratic twists by: -4 8 -3 -19 |