Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960ft |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
1.031494176E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1774092,896297776] |
[a1,a2,a3,a4,a6] |
Generators |
[317:19125:1] |
Generators of the group modulo torsion |
j |
25850840101954568/431806640625 |
j-invariant |
L |
7.0216873782784 |
L(r)(E,1)/r! |
Ω |
0.22898504544315 |
Real period |
R |
0.51107321329467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960fv2 24480j2 16320ck2 |
Quadratic twists by: -4 8 -3 |