Atkin-Lehner |
2+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11704c |
Isogeny class |
Conductor |
11704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1408 |
Modular degree for the optimal curve |
Δ |
444752 = 24 · 7 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 11+ 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19,0] |
[a1,a2,a3,a4,a6] |
j |
49948672/27797 |
j-invariant |
L |
2.4421835955084 |
L(r)(E,1)/r! |
Ω |
2.4421835955084 |
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 |
23408c1 93632m1 105336bx1 81928g1 |
Quadratic twists by: -4 8 -3 -7 |