Atkin-Lehner |
3- 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
10335f |
Isogeny class |
Conductor |
10335 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3627585 = 34 · 5 · 132 · 53 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-238854,-44950853] |
[a1,a2,a3,a4,a6] |
Generators |
[778215396:25482621415:592704] |
Generators of the group modulo torsion |
j |
1507018745159128565209/3627585 |
j-invariant |
L |
6.4588061388588 |
L(r)(E,1)/r! |
Ω |
0.2159566802893 |
Real period |
R |
14.953939211805 |
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 |
31005q4 51675d4 |
Quadratic twists by: -3 5 |