Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650dc |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
35114625000000 = 26 · 32 · 59 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16638,773892] |
[a1,a2,a3,a4,a6] |
Generators |
[48:270:1] |
Generators of the group modulo torsion |
j |
260794641869/17978688 |
j-invariant |
L |
8.2300927502696 |
L(r)(E,1)/r! |
Ω |
0.64025606176237 |
Real period |
R |
1.0711980775857 |
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 |
109200fc1 40950cd1 13650t1 95550hv1 |
Quadratic twists by: -4 -3 5 -7 |