Atkin-Lehner |
3- 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
10089c |
Isogeny class |
Conductor |
10089 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
35148976299 = 312 · 19 · 592 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 0 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1211,13776] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:138:1] [-10:162:1] |
Generators of the group modulo torsion |
j |
269210725993/48215331 |
j-invariant |
L |
3.3917433976416 |
L(r)(E,1)/r! |
Ω |
1.1052358097941 |
Real period |
R |
1.5343980748661 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3363b2 |
Quadratic twists by: -3 |