Atkin-Lehner |
3- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
110019v |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7.7842566072023E+26 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-830126567,9303148242348] |
[a1,a2,a3,a4,a6] |
Generators |
[-6803949333:5228352048042:1442897] |
Generators of the group modulo torsion |
j |
-13106795925702367212452857/161271278958878647923 |
j-invariant |
L |
6.271343007684 |
L(r)(E,1)/r! |
Ω |
0.050612300983397 |
Real period |
R |
15.488682861743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999633328 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8463i4 |
Quadratic twists by: 13 |