Atkin-Lehner |
2- 3- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
71994bu |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
-3758573921771136 = -1 · 27 · 3 · 1310 · 71 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 -5 13+ -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-97770,-12138972] |
[a1,a2,a3,a4,a6] |
j |
-21413157997609/778687104 |
j-invariant |
L |
3.7718087584047 |
L(r)(E,1)/r! |
Ω |
0.13470745623501 |
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 |
5538h1 |
Quadratic twists by: 13 |