Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75088t |
Isogeny class |
Conductor |
75088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3386893944651776 = -1 · 215 · 133 · 196 |
Discriminant |
Eigenvalues |
2- 1 -3 1 -6 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26112,-3245644] |
[a1,a2,a3,a4,a6] |
Generators |
[8085:107578:27] |
Generators of the group modulo torsion |
j |
-10218313/17576 |
j-invariant |
L |
3.7388125690651 |
L(r)(E,1)/r! |
Ω |
0.17742209372896 |
Real period |
R |
5.2682454723773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9386g2 208a2 |
Quadratic twists by: -4 -19 |