Atkin-Lehner |
3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71487k |
Isogeny class |
Conductor |
71487 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
496142870301 = 37 · 136 · 47 |
Discriminant |
Eigenvalues |
2 3- -1 3 1 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-40053,3085137] |
[a1,a2,a3,a4,a6] |
j |
2019487744/141 |
j-invariant |
L |
3.5400445552166 |
L(r)(E,1)/r! |
Ω |
0.88501113774517 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23829l1 423f1 |
Quadratic twists by: -3 13 |