Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
48216s |
Isogeny class |
Conductor |
48216 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-11764728686592 = -1 · 211 · 35 · 73 · 413 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 3 -2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6848,-275808] |
[a1,a2,a3,a4,a6] |
Generators |
[163:1722:1] |
Generators of the group modulo torsion |
j |
-50565500750/16747803 |
j-invariant |
L |
8.0211533993786 |
L(r)(E,1)/r! |
Ω |
0.25806785566444 |
Real period |
R |
1.0360522401784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96432g1 48216l1 |
Quadratic twists by: -4 -7 |