Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840m |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
109641600000 = 210 · 36 · 55 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -3 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7947,-272214] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:10:1] |
Generators of the group modulo torsion |
j |
74354261796/146875 |
j-invariant |
L |
5.899643485532 |
L(r)(E,1)/r! |
Ω |
0.50570854112862 |
Real period |
R |
1.1666094213803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16920q1 3760b1 |
Quadratic twists by: -4 -3 |