Atkin-Lehner |
2+ 3- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984x |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
76160 |
Modular degree for the optimal curve |
Δ |
-130708976832 = -1 · 26 · 314 · 7 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 4 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1793,33417] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:243:1] |
Generators of the group modulo torsion |
j |
-9966135808000/2042327763 |
j-invariant |
L |
9.0143857984247 |
L(r)(E,1)/r! |
Ω |
0.99652332462921 |
Real period |
R |
0.64613108791387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000206 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81984cb1 1281a1 |
Quadratic twists by: -4 8 |