Atkin-Lehner |
2+ 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
93024h |
Isogeny class |
Conductor |
93024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-171176687728128 = -1 · 29 · 36 · 176 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 2 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12915,845802] |
[a1,a2,a3,a4,a6] |
Generators |
[3230:90944:125] |
Generators of the group modulo torsion |
j |
-638277381000/458613811 |
j-invariant |
L |
8.5299757571469 |
L(r)(E,1)/r! |
Ω |
0.52671119792146 |
Real period |
R |
8.0973936045803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999983736 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93024e2 10336n2 |
Quadratic twists by: -4 -3 |