Atkin-Lehner |
2- 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232cp |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
29696 |
Modular degree for the optimal curve |
Δ |
-724856832 = -1 · 212 · 32 · 7 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57,-1287] |
[a1,a2,a3,a4,a6] |
j |
-5088448/176967 |
j-invariant |
L |
2.7966380426614 |
L(r)(E,1)/r! |
Ω |
0.69915951264575 |
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 |
71232cz1 35616y1 |
Quadratic twists by: -4 8 |