Atkin-Lehner |
2- 7+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123662v |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5598720 |
Modular degree for the optimal curve |
Δ |
-124912454315264 = -1 · 28 · 73 · 117 · 73 |
Discriminant |
Eigenvalues |
2- 1 3 7+ 11- 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30570834,-65061796348] |
[a1,a2,a3,a4,a6] |
Generators |
[158734960972:-18383545559002:10218313] |
Generators of the group modulo torsion |
j |
-1783567140616110895417/70509824 |
j-invariant |
L |
16.745305151808 |
L(r)(E,1)/r! |
Ω |
0.032102786997074 |
Real period |
R |
16.300478399016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11242d1 |
Quadratic twists by: -11 |