Atkin-Lehner |
5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4675l |
Isogeny class |
Conductor |
4675 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-4148644671875 = -1 · 56 · 11 · 176 |
Discriminant |
Eigenvalues |
0 -1 5+ -2 11- -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2483,-108132] |
[a1,a2,a3,a4,a6] |
Generators |
[188:2456:1] |
Generators of the group modulo torsion |
j |
-108394872832/265513259 |
j-invariant |
L |
2.1832321378291 |
L(r)(E,1)/r! |
Ω |
0.31523146115132 |
Real period |
R |
1.1543011019349 |
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 |
74800bk2 42075t2 187a2 51425f2 |
Quadratic twists by: -4 -3 5 -11 |