Atkin-Lehner |
2- 3- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
54120l |
Isogeny class |
Conductor |
54120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
148992 |
Modular degree for the optimal curve |
Δ |
-3666332989440 = -1 · 211 · 38 · 5 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ -1 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36256,-2670880] |
[a1,a2,a3,a4,a6] |
j |
-2573625807441218/1790201655 |
j-invariant |
L |
1.3838705209172 |
L(r)(E,1)/r! |
Ω |
0.17298381512023 |
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 |
108240d1 |
Quadratic twists by: -4 |