Atkin-Lehner |
2- 3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68880bi |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-225926400 = -1 · 28 · 3 · 52 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,44,700] |
[a1,a2,a3,a4,a6] |
Generators |
[42:259:8] |
Generators of the group modulo torsion |
j |
35969456/882525 |
j-invariant |
L |
5.4845257143997 |
L(r)(E,1)/r! |
Ω |
1.3261618273497 |
Real period |
R |
4.1356383522202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999308 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220h2 |
Quadratic twists by: -4 |