Atkin-Lehner |
2+ 3- 11+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19734i |
Isogeny class |
Conductor |
19734 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3504876804 = 22 · 34 · 112 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1797,29020] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:186:1] [-26:254:1] |
Generators of the group modulo torsion |
j |
641239823211337/3504876804 |
j-invariant |
L |
5.4323912128321 |
L(r)(E,1)/r! |
Ω |
1.4141760806163 |
Real period |
R |
0.96034561878344 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59202bb2 |
Quadratic twists by: -3 |