Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380k |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-7.341040189095E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1335565,-722648150] |
[a1,a2,a3,a4,a6] |
Generators |
[5848418577520:143474410125501:3511808000] |
Generators of the group modulo torsion |
j |
-682190417035264/190083355875 |
j-invariant |
L |
6.3696086812266 |
L(r)(E,1)/r! |
Ω |
0.069217103966754 |
Real period |
R |
15.337270491225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006724 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7140i3 |
Quadratic twists by: 17 |