Atkin-Lehner |
2+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440l |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-155545600 = -1 · 212 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -6 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,119,375] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:16:1] [2:25:1] |
Generators of the group modulo torsion |
j |
45118016/37975 |
j-invariant |
L |
6.2656500635027 |
L(r)(E,1)/r! |
Ω |
1.1815150523962 |
Real period |
R |
1.3257660261778 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999433 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440o2 34720z1 |
Quadratic twists by: -4 8 |