Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
8925i |
Isogeny class |
Conductor |
8925 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
25840270107421875 = 33 · 510 · 78 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-92463,7530906] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:4377:1] |
Generators of the group modulo torsion |
j |
5595100866606889/1653777286875 |
j-invariant |
L |
2.1917076488108 |
L(r)(E,1)/r! |
Ω |
0.34971716945058 |
Real period |
R |
0.78338577580208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26775bk3 1785i4 62475bv3 |
Quadratic twists by: -3 5 -7 |