Atkin-Lehner |
2+ 5- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
39950i |
Isogeny class |
Conductor |
39950 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
333666395000 = 23 · 54 · 175 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -3 -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1742,-2884] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:98:1] |
Generators of the group modulo torsion |
j |
935682215625/533866232 |
j-invariant |
L |
3.0240365049861 |
L(r)(E,1)/r! |
Ω |
0.79974121490477 |
Real period |
R |
3.7812688012419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39950p1 |
Quadratic twists by: 5 |