Atkin-Lehner |
5- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7585b |
Isogeny class |
Conductor |
7585 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1403225 = 52 · 372 · 41 |
Discriminant |
Eigenvalues |
1 2 5- 2 0 6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-222,-1369] |
[a1,a2,a3,a4,a6] |
j |
1218528651241/1403225 |
j-invariant |
L |
4.9447792233302 |
L(r)(E,1)/r! |
Ω |
1.2361948058325 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121360y2 68265c2 37925d2 |
Quadratic twists by: -4 -3 5 |