Atkin-Lehner |
2+ 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49104l |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-42045349104 = -1 · 24 · 36 · 112 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 3 5 11+ -6 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1071,16713] |
[a1,a2,a3,a4,a6] |
j |
-11647819008/3604711 |
j-invariant |
L |
4.3280803548233 |
L(r)(E,1)/r! |
Ω |
1.0820200889013 |
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 |
24552x1 5456b1 |
Quadratic twists by: -4 -3 |