Atkin-Lehner |
2+ 3+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38592d |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-23162254000128 = -1 · 218 · 39 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 4 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6804,83376] |
[a1,a2,a3,a4,a6] |
Generators |
[-1180:16912:125] |
Generators of the group modulo torsion |
j |
6751269/4489 |
j-invariant |
L |
5.9200881334025 |
L(r)(E,1)/r! |
Ω |
0.42412990304822 |
Real period |
R |
6.9790977844949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38592bm2 603b2 38592b2 |
Quadratic twists by: -4 8 -3 |