Atkin-Lehner |
2- 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
49440o |
Isogeny class |
Conductor |
49440 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-1049017920000000 = -1 · 212 · 3 · 57 · 1033 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 6 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17185,1777583] |
[a1,a2,a3,a4,a6] |
j |
-137036937687616/256107890625 |
j-invariant |
L |
6.1446709971388 |
L(r)(E,1)/r! |
Ω |
0.43890507116962 |
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 |
49440c1 98880e1 |
Quadratic twists by: -4 8 |