Atkin-Lehner |
2- 3- 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
121752ba |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
223680 |
Modular degree for the optimal curve |
Δ |
-224693803008 = -1 · 211 · 36 · 19 · 892 |
Discriminant |
Eigenvalues |
2- 3- -2 -5 -2 3 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10731,-428474] |
[a1,a2,a3,a4,a6] |
j |
-91534922066/150499 |
j-invariant |
L |
0.46902581643332 |
L(r)(E,1)/r! |
Ω |
0.23451288615001 |
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 |
13528a1 |
Quadratic twists by: -3 |