Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440s |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
573222140803809280 = 239 · 5 · 7 · 313 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -3 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-282721,-44861215] |
[a1,a2,a3,a4,a6] |
Generators |
[1129:-32768:1] |
Generators of the group modulo torsion |
j |
9533657181184921/2186668933120 |
j-invariant |
L |
3.8913456951224 |
L(r)(E,1)/r! |
Ω |
0.2104567521644 |
Real period |
R |
1.5408334710714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993519 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69440cd2 2170f2 |
Quadratic twists by: -4 8 |