Atkin-Lehner |
5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71995t |
Isogeny class |
Conductor |
71995 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39200 |
Modular degree for the optimal curve |
Δ |
-1054078795 = -1 · 5 · 7 · 116 · 17 |
Discriminant |
Eigenvalues |
-2 2 5- 7+ 11- 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-40,-1552] |
[a1,a2,a3,a4,a6] |
Generators |
[669:2951:27] |
Generators of the group modulo torsion |
j |
-4096/595 |
j-invariant |
L |
4.5338214989012 |
L(r)(E,1)/r! |
Ω |
0.69107492244928 |
Real period |
R |
3.2802677037871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
595c1 |
Quadratic twists by: -11 |