Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49980t |
Isogeny class |
Conductor |
49980 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-161282661120 = -1 · 28 · 32 · 5 · 77 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 5 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4181,-107241] |
[a1,a2,a3,a4,a6] |
j |
-268435456/5355 |
j-invariant |
L |
3.5580228029794 |
L(r)(E,1)/r! |
Ω |
0.29650190024087 |
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 |
7140g1 |
Quadratic twists by: -7 |