Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fn |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8.753546002432E+21 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3634367,-3627640863] |
[a1,a2,a3,a4,a6] |
Generators |
[58214554994630097:2928261200277504000:35097470645021] |
Generators of the group modulo torsion |
j |
1296134247276791/2137096192000 |
j-invariant |
L |
11.422303654558 |
L(r)(E,1)/r! |
Ω |
0.068632900351552 |
Real period |
R |
20.80325843831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999540242 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200bb3 30800by3 24640bs3 |
Quadratic twists by: -4 8 5 |