Atkin-Lehner |
2- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
83942l |
Isogeny class |
Conductor |
83942 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
206080 |
Modular degree for the optimal curve |
Δ |
-6553762920032 = -1 · 25 · 19 · 476 |
Discriminant |
Eigenvalues |
2- -1 4 3 -2 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-46,-123189] |
[a1,a2,a3,a4,a6] |
j |
-1/608 |
j-invariant |
L |
6.8730487472391 |
L(r)(E,1)/r! |
Ω |
0.3436524385636 |
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 |
38b1 |
Quadratic twists by: -47 |