Atkin-Lehner |
3+ 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
59475h |
Isogeny class |
Conductor |
59475 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
10923549289453125 = 36 · 58 · 132 · 613 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 -4 13- -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-756603150,-8010643843125] |
[a1,a2,a3,a4,a6] |
Generators |
[-6026988850140:3013353400695:379503424] |
Generators of the group modulo torsion |
j |
3065548011241365853187751649/699107154525 |
j-invariant |
L |
3.288681148675 |
L(r)(E,1)/r! |
Ω |
0.028786079358294 |
Real period |
R |
9.5204615727526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11895h2 |
Quadratic twists by: 5 |