Atkin-Lehner |
2+ 7- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123662q |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
990720 |
Modular degree for the optimal curve |
Δ |
-126382564 = -1 · 22 · 72 · 112 · 732 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 11- -7 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-389886,93540968] |
[a1,a2,a3,a4,a6] |
Generators |
[362:-118:1] |
Generators of the group modulo torsion |
j |
-54169272728929437937/1044484 |
j-invariant |
L |
9.3638455795012 |
L(r)(E,1)/r! |
Ω |
0.96026681394367 |
Real period |
R |
1.2189119525057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002795 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123662z1 |
Quadratic twists by: -11 |