Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200fq |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4644864 |
Modular degree for the optimal curve |
Δ |
-3.865129544319E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9624675,14884753250] |
[a1,a2,a3,a4,a6] |
j |
-2113364608155289/828431400960 |
j-invariant |
L |
0.86526471911295 |
L(r)(E,1)/r! |
Ω |
0.10815808969303 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7650x1 20400bw1 12240bz1 |
Quadratic twists by: -4 -3 5 |