Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520dm |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
21369287658700800 = 232 · 37 · 52 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69627,-735446] |
[a1,a2,a3,a4,a6] |
j |
12501706118329/7156531200 |
j-invariant |
L |
2.5490458129479 |
L(r)(E,1)/r! |
Ω |
0.3186307269581 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190bs1 21840bq1 |
Quadratic twists by: -4 -3 |