Atkin-Lehner |
2- 3+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72072t |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
328957256339712 = 28 · 39 · 73 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35775,2453922] |
[a1,a2,a3,a4,a6] |
j |
1004919750000/65284219 |
j-invariant |
L |
2.1282609281225 |
L(r)(E,1)/r! |
Ω |
0.53206522682419 |
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 |
72072a1 |
Quadratic twists by: -3 |