Atkin-Lehner |
2- 3- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050cf |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-915750000 = -1 · 24 · 32 · 56 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,112,1392] |
[a1,a2,a3,a4,a6] |
j |
9938375/58608 |
j-invariant |
L |
4.5507280436704 |
L(r)(E,1)/r! |
Ω |
1.1376820106917 |
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 |
2442a1 |
Quadratic twists by: 5 |