Atkin-Lehner |
2- 3- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21204f |
Isogeny class |
Conductor |
21204 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-1.8555415014937E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -2 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7350456,-7945481999] |
[a1,a2,a3,a4,a6] |
j |
-3765468751313385422848/159082776191162547 |
j-invariant |
L |
1.3719543932851 |
L(r)(E,1)/r! |
Ω |
0.045731813109502 |
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 |
84816m1 7068f1 |
Quadratic twists by: -4 -3 |