Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912ce |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
15014363973859152 = 24 · 37 · 712 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1112953,-452254594] |
[a1,a2,a3,a4,a6] |
j |
80992788772864000/7976249253 |
j-invariant |
L |
4.115673485183 |
L(r)(E,1)/r! |
Ω |
0.14698833902729 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18228g1 10416be1 |
Quadratic twists by: -4 -7 |