Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17325s |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8.6699468905481E+21 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5725130,-2779063878] |
[a1,a2,a3,a4,a6] |
Generators |
[-615:22868:1] |
Generators of the group modulo torsion |
j |
1821931919215868881/761147600816295 |
j-invariant |
L |
3.1291682503514 |
L(r)(E,1)/r! |
Ω |
0.10128890294394 |
Real period |
R |
7.7233738331711 |
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 |
5775c4 3465i3 121275en3 |
Quadratic twists by: -3 5 -7 |