Atkin-Lehner |
2- 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
65296t |
Isogeny class |
Conductor |
65296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
-750387900416 = -1 · 212 · 72 · 113 · 532 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 11+ -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1563,-33709] |
[a1,a2,a3,a4,a6] |
Generators |
[46:371:1] |
Generators of the group modulo torsion |
j |
103029788672/183200171 |
j-invariant |
L |
4.378679806361 |
L(r)(E,1)/r! |
Ω |
0.47174995714431 |
Real period |
R |
2.3204452592839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4081c1 |
Quadratic twists by: -4 |