Atkin-Lehner |
5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
51425u |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7999705140625 = 56 · 116 · 172 |
Discriminant |
Eigenvalues |
-1 0 5+ 4 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17205,862172] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:1296:1] |
Generators of the group modulo torsion |
j |
20346417/289 |
j-invariant |
L |
3.9664424511408 |
L(r)(E,1)/r! |
Ω |
0.74047077431042 |
Real period |
R |
2.6783247825285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999836 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2057c2 425a2 |
Quadratic twists by: 5 -11 |