Atkin-Lehner |
2+ 3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240o |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
-26400501106963200 = -1 · 28 · 32 · 52 · 78 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 1 -7 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,73719,-1302525] |
[a1,a2,a3,a4,a6] |
j |
173067755625030656/103126957449075 |
j-invariant |
L |
1.7561946011769 |
L(r)(E,1)/r! |
Ω |
0.21952432598835 |
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 |
36120v1 |
Quadratic twists by: -4 |