Atkin-Lehner |
3+ 7+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
11067c |
Isogeny class |
Conductor |
11067 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38304 |
Modular degree for the optimal curve |
Δ |
-1502766495356931 = -1 · 33 · 7 · 172 · 317 |
Discriminant |
Eigenvalues |
0 3+ 1 7+ -4 3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,28135,-432850] |
[a1,a2,a3,a4,a6] |
j |
2462912792048697344/1502766495356931 |
j-invariant |
L |
0.5532502406939 |
L(r)(E,1)/r! |
Ω |
0.27662512034695 |
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 |
33201c1 77469v1 |
Quadratic twists by: -3 -7 |