Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
81312t |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
450004838976 = 26 · 34 · 72 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2702,42480] |
[a1,a2,a3,a4,a6] |
Generators |
[16:60:1] |
Generators of the group modulo torsion |
j |
19248832/3969 |
j-invariant |
L |
9.1769953517206 |
L(r)(E,1)/r! |
Ω |
0.88824595967913 |
Real period |
R |
2.5828981402278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002659 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81312l1 672h1 |
Quadratic twists by: -4 -11 |