Atkin-Lehner |
2- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
49588k |
Isogeny class |
Conductor |
49588 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-12578057887472 = -1 · 24 · 710 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3 4 7- 11+ 3 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19453,-1058155] |
[a1,a2,a3,a4,a6] |
j |
-432489182976/6681983 |
j-invariant |
L |
9.693161251944 |
L(r)(E,1)/r! |
Ω |
0.20194085943669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7084i1 |
Quadratic twists by: -7 |