Atkin-Lehner |
3+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
38775d |
Isogeny class |
Conductor |
38775 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.9190523364868E+20 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2025875,-746550000] |
[a1,a2,a3,a4,a6] |
Generators |
[-62604:1140465:64] |
Generators of the group modulo torsion |
j |
58849388767818408241/18681934953515625 |
j-invariant |
L |
4.5796298880161 |
L(r)(E,1)/r! |
Ω |
0.12971406484619 |
Real period |
R |
8.826394218402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116325q3 7755h3 |
Quadratic twists by: -3 5 |