Atkin-Lehner |
3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5355s |
Isogeny class |
Conductor |
5355 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
188143400025 = 312 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1922,25296] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:144:1] |
Generators of the group modulo torsion |
j |
1076575468249/258084225 |
j-invariant |
L |
2.8925129235542 |
L(r)(E,1)/r! |
Ω |
0.94829926295058 |
Real period |
R |
1.5251055423972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
85680fk2 1785b2 26775v2 37485x2 |
Quadratic twists by: -4 -3 5 -7 |