Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520ds |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-129313833216750000 = -1 · 24 · 37 · 56 · 72 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,94488,-13204609] |
[a1,a2,a3,a4,a6] |
Generators |
[277:5850:1] |
Generators of the group modulo torsion |
j |
7998456195055616/11086576921875 |
j-invariant |
L |
6.9626783590677 |
L(r)(E,1)/r! |
Ω |
0.17513827508936 |
Real period |
R |
0.55215723716186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000365 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16380i3 21840bb3 |
Quadratic twists by: -4 -3 |