Atkin-Lehner |
3- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
85305u |
Isogeny class |
Conductor |
85305 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
-2.1517319354599E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11- 0 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-607241,728824350] |
[a1,a2,a3,a4,a6] |
Generators |
[-722:28486:1] |
Generators of the group modulo torsion |
j |
-115522222592689/1003798828125 |
j-invariant |
L |
3.8461941621292 |
L(r)(E,1)/r! |
Ω |
0.1518587280818 |
Real period |
R |
1.8091034889377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999868732 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85305t1 |
Quadratic twists by: -11 |