Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600b |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-137654559168750000 = -1 · 24 · 33 · 58 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-232383,-46589238] |
[a1,a2,a3,a4,a6] |
Generators |
[5017257030552895722589342:-629663582763707177687408924:318231343713856238639] |
Generators of the group modulo torsion |
j |
-5551350318708736/550618236675 |
j-invariant |
L |
4.4495650897492 |
L(r)(E,1)/r! |
Ω |
0.10811407429921 |
Real period |
R |
41.156205781634 |
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 |
7800e1 62400hb1 46800p1 3120j1 |
Quadratic twists by: -4 8 -3 5 |