Atkin-Lehner |
2+ 3- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
43800s |
Isogeny class |
Conductor |
43800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-262800000000 = -1 · 210 · 32 · 58 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 1 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1208,29088] |
[a1,a2,a3,a4,a6] |
Generators |
[4:156:1] |
Generators of the group modulo torsion |
j |
-487780/657 |
j-invariant |
L |
7.9238491268986 |
L(r)(E,1)/r! |
Ω |
0.88515919957379 |
Real period |
R |
2.2379728784159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87600k1 43800t1 |
Quadratic twists by: -4 5 |