Atkin-Lehner |
2- 3- 5- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119850cq |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
187200 |
Modular degree for the optimal curve |
Δ |
-352059375000 = -1 · 23 · 3 · 58 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1487,-17983] |
[a1,a2,a3,a4,a6] |
j |
930847055/901272 |
j-invariant |
L |
9.4051225639544 |
L(r)(E,1)/r! |
Ω |
0.52250677119595 |
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 |
119850n1 |
Quadratic twists by: 5 |