Atkin-Lehner |
2- 3+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
38544m |
Isogeny class |
Conductor |
38544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
62720 |
Modular degree for the optimal curve |
Δ |
-79125590016 = -1 · 212 · 37 · 112 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 11- -6 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-517,-14099] |
[a1,a2,a3,a4,a6] |
Generators |
[60:409:1] |
Generators of the group modulo torsion |
j |
-3738308608/19317771 |
j-invariant |
L |
3.9203555798025 |
L(r)(E,1)/r! |
Ω |
0.45113653888893 |
Real period |
R |
4.3449767884663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2409d1 115632w1 |
Quadratic twists by: -4 -3 |