Atkin-Lehner |
2+ 3- 5- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119850bm |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
720000 |
Modular degree for the optimal curve |
Δ |
-2658904085156250 = -1 · 2 · 3 · 58 · 176 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -3 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-30201,3196798] |
[a1,a2,a3,a4,a6] |
j |
-7798426365865/6806794458 |
j-invariant |
L |
2.4982494013231 |
L(r)(E,1)/r! |
Ω |
0.41637508053262 |
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 |
119850bs1 |
Quadratic twists by: 5 |