Atkin-Lehner |
2+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
19118d |
Isogeny class |
Conductor |
19118 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
22112624402 = 2 · 116 · 792 |
Discriminant |
Eigenvalues |
2+ 2 -2 0 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1091,-12349] |
[a1,a2,a3,a4,a6] |
Generators |
[8754:19339:216] |
Generators of the group modulo torsion |
j |
81182737/12482 |
j-invariant |
L |
4.4224984986394 |
L(r)(E,1)/r! |
Ω |
0.83918402579896 |
Real period |
R |
5.2699984302357 |
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 |
158e2 |
Quadratic twists by: -11 |