Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19320h |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-1.1568760122665E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3166296,-2175801120] |
[a1,a2,a3,a4,a6] |
Generators |
[3756:197316:1] |
Generators of the group modulo torsion |
j |
-3428296927707108677476/11297617307290125 |
j-invariant |
L |
5.2970754504302 |
L(r)(E,1)/r! |
Ω |
0.056577789767877 |
Real period |
R |
2.3406161110935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38640f2 57960br2 96600bp2 |
Quadratic twists by: -4 -3 5 |