Atkin-Lehner |
2+ 7+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
70448a |
Isogeny class |
Conductor |
70448 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
229824 |
Modular degree for the optimal curve |
Δ |
-27207095374592 = -1 · 28 · 7 · 177 · 37 |
Discriminant |
Eigenvalues |
2+ 3 0 7+ 0 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11140,517484] |
[a1,a2,a3,a4,a6] |
j |
-597226843008000/106277716307 |
j-invariant |
L |
5.7707869761906 |
L(r)(E,1)/r! |
Ω |
0.64119855501042 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35224e1 |
Quadratic twists by: -4 |