Atkin-Lehner |
2- 3+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
84420a |
Isogeny class |
Conductor |
84420 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
21327946466400000 = 28 · 33 · 55 · 72 · 674 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81423,5531878] |
[a1,a2,a3,a4,a6] |
Generators |
[2118:96614:1] |
Generators of the group modulo torsion |
j |
8636967430943472/3085640403125 |
j-invariant |
L |
5.0133056054726 |
L(r)(E,1)/r! |
Ω |
0.35080489931355 |
Real period |
R |
3.5727163584532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917428 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84420e2 |
Quadratic twists by: -3 |