Atkin-Lehner |
5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
4675q |
Isogeny class |
Conductor |
4675 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-411384836856640625 = -1 · 58 · 118 · 173 |
Discriminant |
Eigenvalues |
1 3 5- -3 11+ -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-701617,228473666] |
[a1,a2,a3,a4,a6] |
Generators |
[97626:5675818:27] |
Generators of the group modulo torsion |
j |
-97783220255527305/1053145182353 |
j-invariant |
L |
6.6738985975794 |
L(r)(E,1)/r! |
Ω |
0.30032787396411 |
Real period |
R |
3.7036736492291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74800dr1 42075cf1 4675d1 51425bf1 |
Quadratic twists by: -4 -3 5 -11 |