Atkin-Lehner |
2- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
71104s |
Isogeny class |
Conductor |
71104 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
9784320 |
Modular degree for the optimal curve |
Δ |
-5.0272315889297E+21 |
Discriminant |
Eigenvalues |
2- 2 4 5 11- -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11393601,-15186848287] |
[a1,a2,a3,a4,a6] |
j |
-1247949017853525511202/38354733191907341 |
j-invariant |
L |
9.1868494578824 |
L(r)(E,1)/r! |
Ω |
0.041012720880719 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71104f1 17776b1 |
Quadratic twists by: -4 8 |