Atkin-Lehner |
2- 3- 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
85140s |
Isogeny class |
Conductor |
85140 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
441365760 = 28 · 36 · 5 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 5 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,164] |
[a1,a2,a3,a4,a6] |
j |
4194304/2365 |
j-invariant |
L |
4.3241211299658 |
L(r)(E,1)/r! |
Ω |
1.4413737180494 |
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 |
9460a1 |
Quadratic twists by: -3 |