Atkin-Lehner |
3- 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
11895h |
Isogeny class |
Conductor |
11895 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
699107154525 = 36 · 52 · 132 · 613 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 -4 13+ 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30264126,-64085150745] |
[a1,a2,a3,a4,a6] |
Generators |
[7383:335316:1] |
Generators of the group modulo torsion |
j |
3065548011241365853187751649/699107154525 |
j-invariant |
L |
3.4436019719858 |
L(r)(E,1)/r! |
Ω |
0.064367630250849 |
Real period |
R |
2.9721650450749 |
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 |
35685l2 59475h2 |
Quadratic twists by: -3 5 |