Atkin-Lehner |
2- 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
71232ca |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
622592 |
Modular degree for the optimal curve |
Δ |
-14652844859326464 = -1 · 217 · 316 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 3 4 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,60991,-574623] |
[a1,a2,a3,a4,a6] |
j |
191427323574814/111792334437 |
j-invariant |
L |
3.7255411129602 |
L(r)(E,1)/r! |
Ω |
0.23284631808163 |
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 |
71232bp1 17808k1 |
Quadratic twists by: -4 8 |