Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
81312l |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
19600210764288 = 29 · 32 · 74 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13592,576072] |
[a1,a2,a3,a4,a6] |
Generators |
[53:42:1] |
Generators of the group modulo torsion |
j |
306182024/21609 |
j-invariant |
L |
6.1012294849208 |
L(r)(E,1)/r! |
Ω |
0.67176902883563 |
Real period |
R |
2.270583050166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004783 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81312t3 672c2 |
Quadratic twists by: -4 -11 |