Atkin-Lehner |
2- 5+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
123370u |
Isogeny class |
Conductor |
123370 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
1.109889884453E+27 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 0 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1106740866,14080140539759] |
[a1,a2,a3,a4,a6] |
Generators |
[811268189845245489:-19862791433800682009:47583535564053] |
Generators of the group modulo torsion |
j |
31059999008617606784101801/229942780924838477600 |
j-invariant |
L |
14.59204240936 |
L(r)(E,1)/r! |
Ω |
0.04921311087893 |
Real period |
R |
29.650721215979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069173 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9490c2 |
Quadratic twists by: 13 |