Atkin-Lehner |
2+ 3- 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850bf |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-598500937500 = -1 · 22 · 3 · 57 · 172 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 6 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1474,-30052] |
[a1,a2,a3,a4,a6] |
j |
22689222191/38304060 |
j-invariant |
L |
3.85626341641 |
L(r)(E,1)/r! |
Ω |
0.48203287396117 |
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 |
23970n1 |
Quadratic twists by: 5 |