Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
84600w |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-9591447168000 = -1 · 210 · 313 · 53 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -4 5 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4605,87950] |
[a1,a2,a3,a4,a6] |
Generators |
[79:972:1] |
Generators of the group modulo torsion |
j |
115737772/102789 |
j-invariant |
L |
6.114544247765 |
L(r)(E,1)/r! |
Ω |
0.47392044287334 |
Real period |
R |
0.8063779922963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006619 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28200w1 84600ce1 |
Quadratic twists by: -3 5 |