Atkin-Lehner |
2- 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
56100h |
Isogeny class |
Conductor |
56100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-1952542968750000 = -1 · 24 · 35 · 512 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,22967,-1658438] |
[a1,a2,a3,a4,a6] |
j |
5358924087296/7810171875 |
j-invariant |
L |
1.4859016433225 |
L(r)(E,1)/r! |
Ω |
0.24765027369101 |
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 |
11220j1 |
Quadratic twists by: 5 |