Atkin-Lehner |
5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
4675o |
Isogeny class |
Conductor |
4675 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-97225390625 = -1 · 58 · 114 · 17 |
Discriminant |
Eigenvalues |
1 1 5- 3 11+ -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1049,7423] |
[a1,a2,a3,a4,a6] |
Generators |
[129:2947:27] |
Generators of the group modulo torsion |
j |
327254135/248897 |
j-invariant |
L |
5.3555622238385 |
L(r)(E,1)/r! |
Ω |
0.68279733682075 |
Real period |
R |
1.3072600841257 |
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 |
74800dj1 42075ce1 4675b1 51425bc1 |
Quadratic twists by: -4 -3 5 -11 |