Atkin-Lehner |
2+ 7+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65968c |
Isogeny class |
Conductor |
65968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-561519616 = -1 · 210 · 72 · 192 · 31 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ 2 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-344,2596] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:70:1] [6:-28:1] |
Generators of the group modulo torsion |
j |
-4409211748/548359 |
j-invariant |
L |
6.1908241970104 |
L(r)(E,1)/r! |
Ω |
1.59024699231 |
Real period |
R |
0.97324884545702 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999703 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32984f1 |
Quadratic twists by: -4 |