Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
119700bo |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1055512684800 = -1 · 28 · 311 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 5 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1185,46870] |
[a1,a2,a3,a4,a6] |
Generators |
[54:518:1] |
Generators of the group modulo torsion |
j |
39443120/226233 |
j-invariant |
L |
8.8561323132429 |
L(r)(E,1)/r! |
Ω |
0.63164998199596 |
Real period |
R |
3.5051581149201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000008188 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39900w1 119700bz1 |
Quadratic twists by: -3 5 |