Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600br |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-42803200 = -1 · 213 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,85,90] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] |
Generators of the group modulo torsion |
j |
663255/418 |
j-invariant |
L |
3.9049800687444 |
L(r)(E,1)/r! |
Ω |
1.2606368992628 |
Real period |
R |
1.5488123764121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013481 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10450x1 83600ct1 |
Quadratic twists by: -4 5 |