Atkin-Lehner |
2+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83776g |
Isogeny class |
Conductor |
83776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
-5.3949009659108E+19 |
Discriminant |
Eigenvalues |
2+ 0 3 7+ 11- -7 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300716,359041328] |
[a1,a2,a3,a4,a6] |
j |
-11472376678929153/205799139629776 |
j-invariant |
L |
0.33573428077762 |
L(r)(E,1)/r! |
Ω |
0.16786712415594 |
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 |
83776bd1 2618d1 |
Quadratic twists by: -4 8 |