Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118300bf |
Isogeny class |
Conductor |
118300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2249856 |
Modular degree for the optimal curve |
Δ |
-2797956373030000 = -1 · 24 · 54 · 73 · 138 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ -1 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5029158,-4339337263] |
[a1,a2,a3,a4,a6] |
Generators |
[1585804203758832476168:45222559532226864611889:531159582788145793] |
Generators of the group modulo torsion |
j |
-291440245830400/57967 |
j-invariant |
L |
9.8427466804016 |
L(r)(E,1)/r! |
Ω |
0.050407565908913 |
Real period |
R |
32.543880080051 |
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 |
118300z1 9100k1 |
Quadratic twists by: 5 13 |