Atkin-Lehner |
3+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
16695c |
Isogeny class |
Conductor |
16695 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-1277918775 = -1 · 39 · 52 · 72 · 53 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -2 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-285,2600] |
[a1,a2,a3,a4,a6] |
Generators |
[8:24:1] |
Generators of the group modulo torsion |
j |
-130323843/64925 |
j-invariant |
L |
5.3044967403733 |
L(r)(E,1)/r! |
Ω |
1.425869771695 |
Real period |
R |
1.8600915895943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16695g1 83475a1 116865j1 |
Quadratic twists by: -3 5 -7 |