Atkin-Lehner |
2+ 3+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38592a |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2895281750016 = 215 · 39 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 0 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3564,-2160] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:280:1] |
Generators of the group modulo torsion |
j |
7762392/4489 |
j-invariant |
L |
7.4780411505694 |
L(r)(E,1)/r! |
Ω |
0.67638639578344 |
Real period |
R |
2.7639679025136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38592i2 19296b2 38592c2 |
Quadratic twists by: -4 8 -3 |