Atkin-Lehner |
2- 5+ 31- 59- |
Signs for the Atkin-Lehner involutions |
Class |
91450o |
Isogeny class |
Conductor |
91450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
-1428906250 = -1 · 2 · 58 · 31 · 59 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 4 0 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,245,997] |
[a1,a2,a3,a4,a6] |
j |
104487111/91450 |
j-invariant |
L |
1.9724041054383 |
L(r)(E,1)/r! |
Ω |
0.98620213863017 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18290b1 |
Quadratic twists by: 5 |