Atkin-Lehner |
2+ 3- 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
54120h |
Isogeny class |
Conductor |
54120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-306790260480 = -1 · 28 · 312 · 5 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-220,-26752] |
[a1,a2,a3,a4,a6] |
j |
-4620876496/1198399455 |
j-invariant |
L |
2.5987271113829 |
L(r)(E,1)/r! |
Ω |
0.43312118512919 |
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 |
108240e1 |
Quadratic twists by: -4 |