Atkin-Lehner |
2+ 3- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
19998h |
Isogeny class |
Conductor |
19998 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-1710548928 = -1 · 26 · 37 · 112 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-207,2349] |
[a1,a2,a3,a4,a6] |
Generators |
[6:33:1] |
Generators of the group modulo torsion |
j |
-1349232625/2346432 |
j-invariant |
L |
2.7931266347385 |
L(r)(E,1)/r! |
Ω |
1.3355528021186 |
Real period |
R |
0.52284092218362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6666g1 |
Quadratic twists by: -3 |