Atkin-Lehner |
2- 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11220b |
Isogeny class |
Conductor |
11220 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10656 |
Modular degree for the optimal curve |
Δ |
-36139844400 = -1 · 24 · 3 · 52 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2201,41526] |
[a1,a2,a3,a4,a6] |
j |
-73732873437184/2258740275 |
j-invariant |
L |
1.1533359937686 |
L(r)(E,1)/r! |
Ω |
1.1533359937686 |
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 |
44880cl1 33660n1 56100t1 123420k1 |
Quadratic twists by: -4 -3 5 -11 |