Atkin-Lehner |
2- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111320o |
Isogeny class |
Conductor |
111320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2626560 |
Modular degree for the optimal curve |
Δ |
-1.6496260994928E+20 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11- -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2613358,-1739554443] |
[a1,a2,a3,a4,a6] |
j |
-69637687367215104/5819818296875 |
j-invariant |
L |
0.47270348623528 |
L(r)(E,1)/r! |
Ω |
0.059087953135809 |
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 |
10120b1 |
Quadratic twists by: -11 |