Atkin-Lehner |
2+ 3- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
26280c |
Isogeny class |
Conductor |
26280 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-40870656000 = -1 · 211 · 37 · 53 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -4 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-867,-13826] |
[a1,a2,a3,a4,a6] |
Generators |
[38:90:1] |
Generators of the group modulo torsion |
j |
-48275138/27375 |
j-invariant |
L |
4.7870469521768 |
L(r)(E,1)/r! |
Ω |
0.42866538543531 |
Real period |
R |
1.8612213297463 |
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 |
52560e1 8760f1 |
Quadratic twists by: -4 -3 |