Atkin-Lehner |
2+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
22720o |
Isogeny class |
Conductor |
22720 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-22720 = -1 · 26 · 5 · 71 |
Discriminant |
Eigenvalues |
2+ 2 5- -1 -4 5 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55,177] |
[a1,a2,a3,a4,a6] |
j |
-292754944/355 |
j-invariant |
L |
3.7951963465721 |
L(r)(E,1)/r! |
Ω |
3.7951963465721 |
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 |
22720x1 11360c1 113600m1 |
Quadratic twists by: -4 8 5 |