Atkin-Lehner |
2+ 3- 5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71910i |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
394216372800 = 26 · 38 · 52 · 17 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1845,4725] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:195:1] |
Generators of the group modulo torsion |
j |
953054410321/540763200 |
j-invariant |
L |
3.6142939090152 |
L(r)(E,1)/r! |
Ω |
0.81608392083675 |
Real period |
R |
1.1072065683683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997384 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970v1 |
Quadratic twists by: -3 |