Atkin-Lehner |
2+ 3- 5+ 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
119970l |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
-74630937600 = -1 · 210 · 37 · 52 · 31 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,270,-13100] |
[a1,a2,a3,a4,a6] |
j |
2979767519/102374400 |
j-invariant |
L |
2.0996068473327 |
L(r)(E,1)/r! |
Ω |
0.52490208548729 |
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 |
39990t1 |
Quadratic twists by: -3 |