Atkin-Lehner |
2- 3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
27846bb |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-542354091552 = -1 · 25 · 33 · 75 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 13- 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-74,-35415] |
[a1,a2,a3,a4,a6] |
Generators |
[245:3699:1] |
Generators of the group modulo torsion |
j |
-1638858339/20087188576 |
j-invariant |
L |
9.8942117505858 |
L(r)(E,1)/r! |
Ω |
0.42080425834859 |
Real period |
R |
0.15675081789674 |
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 |
27846e1 |
Quadratic twists by: -3 |