Atkin-Lehner |
2+ 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
49104x |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-9378557736927984 = -1 · 24 · 36 · 1110 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 5 11- 4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,49749,1862417] |
[a1,a2,a3,a4,a6] |
j |
1167425747785472/804060162631 |
j-invariant |
L |
5.1741592468564 |
L(r)(E,1)/r! |
Ω |
0.25870796236879 |
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 |
24552e1 5456a1 |
Quadratic twists by: -4 -3 |