Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
108900g |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-13068000000 = -1 · 28 · 33 · 56 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-5500] |
[a1,a2,a3,a4,a6] |
Generators |
[20:50:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
6.6314806485977 |
L(r)(E,1)/r! |
Ω |
0.57805780055492 |
Real period |
R |
0.95600022594365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999899416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108900g2 4356a1 108900e1 |
Quadratic twists by: -3 5 -11 |