Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3120a |
Isogeny class |
Conductor |
3120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
3744000 = 28 · 32 · 53 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4876,-129440] |
[a1,a2,a3,a4,a6] |
Generators |
[81:22:1] |
Generators of the group modulo torsion |
j |
50091484483024/14625 |
j-invariant |
L |
2.7398327179869 |
L(r)(E,1)/r! |
Ω |
0.57131577520162 |
Real period |
R |
4.7956538868895 |
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 |
1560c1 12480db1 9360q1 15600r1 |
Quadratic twists by: -4 8 -3 5 |