Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080z |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-315368640 = -1 · 26 · 34 · 5 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -2 2 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,119,-655] |
[a1,a2,a3,a4,a6] |
j |
2887553024/4927635 |
j-invariant |
L |
3.6147283536194 |
L(r)(E,1)/r! |
Ω |
0.90368208840486 |
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 |
22080by1 345e1 66240dd1 110400bj1 |
Quadratic twists by: -4 8 -3 5 |