Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3120f |
Isogeny class |
Conductor |
3120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
223842949200 = 24 · 316 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2295,36450] |
[a1,a2,a3,a4,a6] |
Generators |
[10:120:1] |
Generators of the group modulo torsion |
j |
83587439220736/13990184325 |
j-invariant |
L |
2.7991160743441 |
L(r)(E,1)/r! |
Ω |
0.94980932992666 |
Real period |
R |
2.9470294575441 |
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 |
1560h1 12480cp1 9360n1 15600p1 |
Quadratic twists by: -4 8 -3 5 |