Atkin-Lehner |
2- 3- 5+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71910y |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
152320 |
Modular degree for the optimal curve |
Δ |
495100350000 = 24 · 36 · 55 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 3 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5438,-149219] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:35:1] |
Generators of the group modulo torsion |
j |
24391523087001/679150000 |
j-invariant |
L |
7.3906196868935 |
L(r)(E,1)/r! |
Ω |
0.55690955923033 |
Real period |
R |
1.6588464779873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7990c1 |
Quadratic twists by: -3 |