Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3120f |
Isogeny class |
Conductor |
3120 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-925376400000000 = -1 · 210 · 34 · 58 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33480,2786400] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:2250:1] |
Generators of the group modulo torsion |
j |
-4053153720264484/903687890625 |
j-invariant |
L |
2.7991160743441 |
L(r)(E,1)/r! |
Ω |
0.47490466496333 |
Real period |
R |
0.73675736438602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1560h4 12480cp4 9360n4 15600p4 |
Quadratic twists by: -4 8 -3 5 |