Atkin-Lehner |
3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8325r |
Isogeny class |
Conductor |
8325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-701017733671875 = -1 · 311 · 57 · 373 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 0 1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-44281200,113416746781] |
[a1,a2,a3,a4,a6] |
j |
-843013059301831868416/61543395 |
j-invariant |
L |
1.1270034471182 |
L(r)(E,1)/r! |
Ω |
0.28175086177956 |
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 |
2775a2 1665c2 |
Quadratic twists by: -3 5 |