Atkin-Lehner |
2- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47600bg |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
671616 |
Modular degree for the optimal curve |
Δ |
-7676904772909792000 = -1 · 28 · 53 · 7 · 1711 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 0 -7 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-358280,-156792900] |
[a1,a2,a3,a4,a6] |
Generators |
[485470:29851922:125] |
Generators of the group modulo torsion |
j |
-158943008967155712/239903274153431 |
j-invariant |
L |
4.0327446277248 |
L(r)(E,1)/r! |
Ω |
0.092603693110568 |
Real period |
R |
10.887105287707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11900g1 47600bo1 |
Quadratic twists by: -4 5 |