Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610bg |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-7050381315840000 = -1 · 211 · 39 · 54 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -3 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15212288,-22833242333] |
[a1,a2,a3,a4,a6] |
Generators |
[4813:121793:1] |
Generators of the group modulo torsion |
j |
-70681322281271643/1280000 |
j-invariant |
L |
8.8334163783633 |
L(r)(E,1)/r! |
Ω |
0.038222661650662 |
Real period |
R |
1.7507891433557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47610j1 47610bk1 |
Quadratic twists by: -3 -23 |