Atkin-Lehner |
2- 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472bt |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-343283837952 = -1 · 210 · 3 · 112 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-797,29757] |
[a1,a2,a3,a4,a6] |
Generators |
[138:1155:8] |
Generators of the group modulo torsion |
j |
-54744881152/335238123 |
j-invariant |
L |
6.6983613195114 |
L(r)(E,1)/r! |
Ω |
0.82826805379026 |
Real period |
R |
4.0435951193473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998153 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472t1 16368j1 |
Quadratic twists by: -4 8 |