Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10640f |
Isogeny class |
Conductor |
10640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3.8869351282672E+21 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15718547,-23798197246] |
[a1,a2,a3,a4,a6] |
Generators |
[10101333408692716520070510:-429550119679635900193638358:1845329542234844706711] |
Generators of the group modulo torsion |
j |
419431409113242476158884/3795835086198466115 |
j-invariant |
L |
4.1755937698099 |
L(r)(E,1)/r! |
Ω |
0.075863633344345 |
Real period |
R |
36.693855239413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5320e3 42560bw3 95760v3 53200r3 |
Quadratic twists by: -4 8 -3 5 |