Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17424bg |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1180380377088 = -1 · 212 · 39 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 0 -5 11- 2 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,52272] |
[a1,a2,a3,a4,a6] |
Generators |
[33:297:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
4.0789112078796 |
L(r)(E,1)/r! |
Ω |
0.68793513194875 |
Real period |
R |
0.98820150778002 |
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 |
1089a2 69696ek2 17424bg1 17424bf2 |
Quadratic twists by: -4 8 -3 -11 |