Atkin-Lehner |
2+ 5- 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
86950m |
Isogeny class |
Conductor |
86950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
514744000000000 = 212 · 59 · 372 · 47 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 -3 5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-38826,2731548] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:2417:1] |
Generators of the group modulo torsion |
j |
3313946891429/263548928 |
j-invariant |
L |
6.8664331817392 |
L(r)(E,1)/r! |
Ω |
0.51014010334729 |
Real period |
R |
1.6824871080795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86950w1 |
Quadratic twists by: 5 |