Atkin-Lehner |
2+ 3- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
81576h |
Isogeny class |
Conductor |
81576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
65336502528 = 28 · 37 · 11 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1335,14186] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:144:1] [7:72:1] |
Generators of the group modulo torsion |
j |
1409938000/350097 |
j-invariant |
L |
10.389171096785 |
L(r)(E,1)/r! |
Ω |
1.0337926415777 |
Real period |
R |
2.5123923983928 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999305 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27192e1 |
Quadratic twists by: -3 |