Atkin-Lehner |
3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
83655v |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
109824 |
Modular degree for the optimal curve |
Δ |
-1200357815085 = -1 · 317 · 5 · 11 · 132 |
Discriminant |
Eigenvalues |
1 3- 5- -2 11+ 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1494,-56835] |
[a1,a2,a3,a4,a6] |
Generators |
[720732:7955391:4913] |
Generators of the group modulo torsion |
j |
-2994503161/9743085 |
j-invariant |
L |
6.8805743973099 |
L(r)(E,1)/r! |
Ω |
0.35365329929414 |
Real period |
R |
9.727852689888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27885t1 83655o1 |
Quadratic twists by: -3 13 |