Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510dw |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-13202481600 = -1 · 26 · 37 · 52 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-797,10469] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-104:1] |
Generators of the group modulo torsion |
j |
-223648543/52800 |
j-invariant |
L |
9.879969094538 |
L(r)(E,1)/r! |
Ω |
1.2014067309876 |
Real period |
R |
0.34265279885738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170v1 48510cr1 |
Quadratic twists by: -3 -7 |