Atkin-Lehner |
2+ 3- 103- |
Signs for the Atkin-Lehner involutions |
Class |
59328x |
Isogeny class |
Conductor |
59328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4054822944768 = 219 · 36 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 -6 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4908,90160] |
[a1,a2,a3,a4,a6] |
Generators |
[470:10080:1] |
Generators of the group modulo torsion |
j |
68417929/21218 |
j-invariant |
L |
8.2283385333298 |
L(r)(E,1)/r! |
Ω |
0.72349052171458 |
Real period |
R |
2.8432779304406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000284 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59328bl2 1854j2 6592a2 |
Quadratic twists by: -4 8 -3 |