Atkin-Lehner |
2- 3+ 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560w |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-10034872320 = -1 · 221 · 3 · 5 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 0 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,424,-3600] |
[a1,a2,a3,a4,a6] |
j |
2053225511/2449920 |
j-invariant |
L |
2.7677104393806 |
L(r)(E,1)/r! |
Ω |
0.69192759824492 |
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 |
9570i1 |
Quadratic twists by: -4 |