Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
67620bl |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
894985355250000 = 24 · 33 · 56 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-494965,-134189812] |
[a1,a2,a3,a4,a6] |
Generators |
[-409:15:1] |
Generators of the group modulo torsion |
j |
7124261256822784/475453125 |
j-invariant |
L |
8.8760677580858 |
L(r)(E,1)/r! |
Ω |
0.17999382167395 |
Real period |
R |
1.8264140805252 |
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 |
9660b1 |
Quadratic twists by: -7 |