Atkin-Lehner |
2- 3+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394br |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
19353600 |
Modular degree for the optimal curve |
Δ |
-4.0552157572587E+20 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11- 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-408391519,3176434767749] |
[a1,a2,a3,a4,a6] |
Generators |
[1667:1580394:1] |
Generators of the group modulo torsion |
j |
-4252043951666000571674377/228906357571584 |
j-invariant |
L |
11.224981133736 |
L(r)(E,1)/r! |
Ω |
0.12638391587414 |
Real period |
R |
0.79300475181714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995491 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7854f1 |
Quadratic twists by: -11 |