Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920fr |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
-4621737283289280 = -1 · 26 · 313 · 5 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,33175,-2310945] |
[a1,a2,a3,a4,a6] |
j |
63090423356788736/72214645051395 |
j-invariant |
L |
1.6385721330506 |
L(r)(E,1)/r! |
Ω |
0.23408173258488 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73920dh1 18480cv1 |
Quadratic twists by: -4 8 |