Atkin-Lehner |
2+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
32240f |
Isogeny class |
Conductor |
32240 |
Conductor |
∏ cp |
98 |
Product of Tamagawa factors cp |
deg |
1505280 |
Modular degree for the optimal curve |
Δ |
-1.5715755432485E+22 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 2 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6243015,-577597883] |
[a1,a2,a3,a4,a6] |
Generators |
[57828:4060225:27] |
Generators of the group modulo torsion |
j |
105115512591295841874944/61389669658146171875 |
j-invariant |
L |
4.9722720721297 |
L(r)(E,1)/r! |
Ω |
0.073201667261958 |
Real period |
R |
0.69311905072059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16120g1 128960bc1 |
Quadratic twists by: -4 8 |