Atkin-Lehner |
3+ 7+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16779d |
Isogeny class |
Conductor |
16779 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20800 |
Modular degree for the optimal curve |
Δ |
-12194322819 = -1 · 3 · 72 · 17 · 474 |
Discriminant |
Eigenvalues |
2 3+ -1 7+ -5 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1496,-22405] |
[a1,a2,a3,a4,a6] |
j |
-370517533364224/12194322819 |
j-invariant |
L |
1.5322590323254 |
L(r)(E,1)/r! |
Ω |
0.38306475808134 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50337k1 117453w1 |
Quadratic twists by: -3 -7 |