Atkin-Lehner |
3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8925g |
Isogeny class |
Conductor |
8925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-28465171875 = -1 · 37 · 56 · 72 · 17 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7+ -3 -1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1058,15893] |
[a1,a2,a3,a4,a6] |
j |
-8390176768/1821771 |
j-invariant |
L |
2.2592680586605 |
L(r)(E,1)/r! |
Ω |
1.1296340293302 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26775ba1 357d1 62475bx1 |
Quadratic twists by: -3 5 -7 |