Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
67620bl |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
-3485889199987488000 = -1 · 28 · 36 · 53 · 710 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-464340,-151486812] |
[a1,a2,a3,a4,a6] |
Generators |
[1836:-72030:1] |
Generators of the group modulo torsion |
j |
-367624742361424/115740505125 |
j-invariant |
L |
8.8760677580858 |
L(r)(E,1)/r! |
Ω |
0.089996910836974 |
Real period |
R |
0.91320704026258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9660b2 |
Quadratic twists by: -7 |