Atkin-Lehner |
2- 19+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
122816h |
Isogeny class |
Conductor |
122816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3175530496 = -1 · 214 · 19 · 1012 |
Discriminant |
Eigenvalues |
2- -2 -2 -4 4 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,271,2191] |
[a1,a2,a3,a4,a6] |
Generators |
[18:115:1] |
Generators of the group modulo torsion |
j |
133846832/193819 |
j-invariant |
L |
3.3355359297516 |
L(r)(E,1)/r! |
Ω |
0.96103790530247 |
Real period |
R |
3.470764278282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996940606 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122816d2 30704b2 |
Quadratic twists by: -4 8 |