Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17424j |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
11881340006899968 = 28 · 39 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11+ -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91839,9340958] |
[a1,a2,a3,a4,a6] |
j |
194672/27 |
j-invariant |
L |
1.5451793817084 |
L(r)(E,1)/r! |
Ω |
0.38629484542709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8712s1 69696fg1 5808b1 17424i1 |
Quadratic twists by: -4 8 -3 -11 |