Atkin-Lehner |
2- 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
71232df |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
102569914015285248 = 217 · 316 · 73 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3111297,-2113304193] |
[a1,a2,a3,a4,a6] |
j |
25411970124952189634/782546341059 |
j-invariant |
L |
5.4564001788366 |
L(r)(E,1)/r! |
Ω |
0.11367500394164 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71232c4 17808f3 |
Quadratic twists by: -4 8 |