Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912ck |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-1686508120571904 = -1 · 220 · 32 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 6 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24712,2469620] |
[a1,a2,a3,a4,a6] |
j |
-3463512697/3499776 |
j-invariant |
L |
3.4429985812147 |
L(r)(E,1)/r! |
Ω |
0.43037482179945 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9114h1 10416v1 |
Quadratic twists by: -4 -7 |