Atkin-Lehner |
2- 5+ 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
12070a |
Isogeny class |
Conductor |
12070 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
16415200 = 25 · 52 · 172 · 71 |
Discriminant |
Eigenvalues |
2- -1 5+ -5 0 -5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-71,93] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:14:1] [-3:18:1] |
Generators of the group modulo torsion |
j |
39616946929/16415200 |
j-invariant |
L |
6.7038485480212 |
L(r)(E,1)/r! |
Ω |
1.9911586320043 |
Real period |
R |
0.16834039338374 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96560h1 108630f1 60350d1 |
Quadratic twists by: -4 -3 5 |