Atkin-Lehner |
2- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
65072j |
Isogeny class |
Conductor |
65072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
233856 |
Modular degree for the optimal curve |
Δ |
4377404421745936 = 24 · 78 · 834 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ -5 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42646,-1150981] |
[a1,a2,a3,a4,a6] |
j |
92996049664/47458321 |
j-invariant |
L |
0.70163295814764 |
L(r)(E,1)/r! |
Ω |
0.35081647602884 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16268c1 65072x1 |
Quadratic twists by: -4 -7 |