Atkin-Lehner |
3- 5+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
71175p |
Isogeny class |
Conductor |
71175 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
545664 |
Modular degree for the optimal curve |
Δ |
-2533524169921875 = -1 · 37 · 513 · 13 · 73 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 6 13- 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-33813,-3407508] |
[a1,a2,a3,a4,a6] |
j |
-273624891501961/162145546875 |
j-invariant |
L |
2.3993076415353 |
L(r)(E,1)/r! |
Ω |
0.17137911697607 |
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 |
14235d1 |
Quadratic twists by: 5 |