Atkin-Lehner |
2- 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150ex |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-5.5786494193862E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-207962105,1619866067897] |
[a1,a2,a3,a4,a6] |
Generators |
[1222557:329078800:343] |
Generators of the group modulo torsion |
j |
-87323024620536113533249/48975797371840020000 |
j-invariant |
L |
11.898161560489 |
L(r)(E,1)/r! |
Ω |
0.048126699742658 |
Real period |
R |
6.1806448486492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005557 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050bk2 16830ba2 |
Quadratic twists by: -3 5 |