Atkin-Lehner |
2+ 7- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123662o |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-18744675175684304 = -1 · 24 · 77 · 117 · 73 |
Discriminant |
Eigenvalues |
2+ -1 3 7- 11- -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,42469,-5642963] |
[a1,a2,a3,a4,a6] |
Generators |
[138:1625:1] |
Generators of the group modulo torsion |
j |
4781539277423/10580880464 |
j-invariant |
L |
5.3441411586211 |
L(r)(E,1)/r! |
Ω |
0.20074254626713 |
Real period |
R |
0.95078093113837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999569073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11242h1 |
Quadratic twists by: -11 |