Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1960f |
Isogeny class |
Conductor |
1960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-1054135040 = -1 · 28 · 5 · 77 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -5 -1 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,-1597] |
[a1,a2,a3,a4,a6] |
Generators |
[23:98:1] |
Generators of the group modulo torsion |
j |
-1024/35 |
j-invariant |
L |
3.4565748263527 |
L(r)(E,1)/r! |
Ω |
0.67747177910435 |
Real period |
R |
0.63777099891202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3920m1 15680q1 17640cj1 9800bf1 |
Quadratic twists by: -4 8 -3 5 |