Atkin-Lehner |
3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
26775bq |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
284656415503359375 = 37 · 57 · 78 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5213255,4582771872] |
[a1,a2,a3,a4,a6] |
Generators |
[-2536:39855:1] [-12938:756165:8] |
Generators of the group modulo torsion |
j |
1375634265228629281/24990412335 |
j-invariant |
L |
5.277652253974 |
L(r)(E,1)/r! |
Ω |
0.28342632022503 |
Real period |
R |
1.1638060488225 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8925h5 5355d5 |
Quadratic twists by: -3 5 |