Atkin-Lehner |
2- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119600m |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
2392000000000 = 212 · 59 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 6 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5008,-116012] |
[a1,a2,a3,a4,a6] |
j |
217081801/37375 |
j-invariant |
L |
4.593477261473 |
L(r)(E,1)/r! |
Ω |
0.57418457639828 |
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 |
7475b1 23920v1 |
Quadratic twists by: -4 5 |