Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
64288h |
Isogeny class |
Conductor |
64288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
847102918144 = 29 · 79 · 41 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 4 -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9032,330436] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:686:1] |
Generators of the group modulo torsion |
j |
3944312/41 |
j-invariant |
L |
3.5310763677006 |
L(r)(E,1)/r! |
Ω |
0.89427377543692 |
Real period |
R |
0.98713516619488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998359 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64288q1 128576bg1 64288c1 |
Quadratic twists by: -4 8 -7 |