Atkin-Lehner |
2+ 3+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38592c |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3971579904 = 215 · 33 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 0 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-396,80] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:40:1] |
Generators of the group modulo torsion |
j |
7762392/4489 |
j-invariant |
L |
5.6351211267027 |
L(r)(E,1)/r! |
Ω |
1.1797176139102 |
Real period |
R |
2.3883347422542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38592j2 19296k2 38592a2 |
Quadratic twists by: -4 8 -3 |