Atkin-Lehner |
2- 3- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
109224g |
Isogeny class |
Conductor |
109224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-530060520766010112 = -1 · 28 · 39 · 376 · 41 |
Discriminant |
Eigenvalues |
2- 3- 4 4 4 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-98823,-37013110] |
[a1,a2,a3,a4,a6] |
Generators |
[1583459283888290:-62595686482135191:967361669000] |
Generators of the group modulo torsion |
j |
-571913462617936/2840259134763 |
j-invariant |
L |
12.078447604818 |
L(r)(E,1)/r! |
Ω |
0.12158755059465 |
Real period |
R |
24.834877298296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003928 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36408b2 |
Quadratic twists by: -3 |