Atkin-Lehner |
2+ 3- 5+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
119970r |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
-121469625000000 = -1 · 26 · 36 · 59 · 31 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -3 2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-720,530496] |
[a1,a2,a3,a4,a6] |
j |
-56667352321/166625000000 |
j-invariant |
L |
0.94567064422019 |
L(r)(E,1)/r! |
Ω |
0.47283436901624 |
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 |
13330d1 |
Quadratic twists by: -3 |