Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
84600bj |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-1015200000000 = -1 · 211 · 33 · 58 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 3 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1125,-46250] |
[a1,a2,a3,a4,a6] |
Generators |
[26:24:1] |
Generators of the group modulo torsion |
j |
7290/47 |
j-invariant |
L |
9.135368966443 |
L(r)(E,1)/r! |
Ω |
0.43789892638849 |
Real period |
R |
3.4769701461189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002212 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84600i1 84600e1 |
Quadratic twists by: -3 5 |