Atkin-Lehner |
2- 3- 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
109980j |
Isogeny class |
Conductor |
109980 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
-516599222491872000 = -1 · 28 · 39 · 53 · 135 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -1 13+ 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,123072,-30325948] |
[a1,a2,a3,a4,a6] |
j |
1104673645789184/2768128549875 |
j-invariant |
L |
1.817218140258 |
L(r)(E,1)/r! |
Ω |
0.15143482145887 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36660b1 |
Quadratic twists by: -3 |