Atkin-Lehner |
3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725bc |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-2832930827692875 = -1 · 34 · 53 · 73 · 138 |
Discriminant |
Eigenvalues |
0 3+ 5- 7+ 5 13+ 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-29293,-3196737] |
[a1,a2,a3,a4,a6] |
j |
-27262976/27783 |
j-invariant |
L |
2.1035452388953 |
L(r)(E,1)/r! |
Ω |
0.17529543820116 |
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 |
88725ci1 88725bi1 |
Quadratic twists by: 5 13 |