Atkin-Lehner |
2+ 3- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
74022k |
Isogeny class |
Conductor |
74022 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
138991905636370566 = 2 · 3 · 138 · 734 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-932715,-346327304] |
[a1,a2,a3,a4,a6] |
j |
18591302291696497/28795816374 |
j-invariant |
L |
2.4582313458274 |
L(r)(E,1)/r! |
Ω |
0.15363945932431 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5694f3 |
Quadratic twists by: 13 |