Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27300l |
Isogeny class |
Conductor |
27300 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-344962800 = -1 · 24 · 36 · 52 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -5 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,142,-567] |
[a1,a2,a3,a4,a6] |
Generators |
[22:117:1] |
Generators of the group modulo torsion |
j |
786080000/862407 |
j-invariant |
L |
5.9045202007507 |
L(r)(E,1)/r! |
Ω |
0.92173847772205 |
Real period |
R |
0.1779403312165 |
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 |
109200du1 81900m1 27300k1 |
Quadratic twists by: -4 -3 5 |