Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10192bb |
Isogeny class |
Conductor |
10192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-252798155281444864 = -1 · 212 · 715 · 13 |
Discriminant |
Eigenvalues |
2- -2 3 7- 0 13+ 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-91989,-26497661] |
[a1,a2,a3,a4,a6] |
Generators |
[2141623370:-61620762273:2248091] |
Generators of the group modulo torsion |
j |
-178643795968/524596891 |
j-invariant |
L |
3.7711086172998 |
L(r)(E,1)/r! |
Ω |
0.12681740199061 |
Real period |
R |
14.868261603321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
637b3 40768dy3 91728ep3 1456h3 |
Quadratic twists by: -4 8 -3 -7 |