Atkin-Lehner |
2- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32144o |
Isogeny class |
Conductor |
32144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
7439569007804416 = 217 · 77 · 413 |
Discriminant |
Eigenvalues |
2- 1 3 7- 0 -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-62344,4301044] |
[a1,a2,a3,a4,a6] |
Generators |
[30:1568:1] |
Generators of the group modulo torsion |
j |
55611739513/15438304 |
j-invariant |
L |
8.0536611456384 |
L(r)(E,1)/r! |
Ω |
0.3894044326842 |
Real period |
R |
1.2926247863507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4018c1 128576ck1 4592i1 |
Quadratic twists by: -4 8 -7 |