Atkin-Lehner |
2- 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
119700q |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-1.8561664718297E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,395700,-648451375] |
[a1,a2,a3,a4,a6] |
j |
37597098131456/1018472686875 |
j-invariant |
L |
1.0423447286439 |
L(r)(E,1)/r! |
Ω |
0.086862072301238 |
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 |
39900c1 23940t1 |
Quadratic twists by: -3 5 |