Atkin-Lehner |
2- 3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490cg |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-2381944777984530 = -1 · 2 · 312 · 5 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 11- 4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-40356,-3908574] |
[a1,a2,a3,a4,a6] |
j |
-4102915888729/1344545730 |
j-invariant |
L |
3.9758459089638 |
L(r)(E,1)/r! |
Ω |
0.16566025004632 |
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 |
7590j1 |
Quadratic twists by: -11 |