Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
27450bg |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
-38421216000000 = -1 · 211 · 39 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 2 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7045,-194453] |
[a1,a2,a3,a4,a6] |
Generators |
[43:410:1] |
Generators of the group modulo torsion |
j |
125751501/124928 |
j-invariant |
L |
8.8236861196034 |
L(r)(E,1)/r! |
Ω |
0.3526537477397 |
Real period |
R |
1.137310022567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27450d1 1098b1 |
Quadratic twists by: -3 5 |