Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800a |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
4379443200000000 = 222 · 35 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2229633,-1280692863] |
[a1,a2,a3,a4,a6] |
Generators |
[154871599321:-232156954116608:68921] |
Generators of the group modulo torsion |
j |
299270638153369/1069200 |
j-invariant |
L |
4.7640929078673 |
L(r)(E,1)/r! |
Ω |
0.12354958348903 |
Real period |
R |
19.280084858685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800gq1 1650q1 10560z1 |
Quadratic twists by: -4 8 5 |