Atkin-Lehner |
2+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32144b |
Isogeny class |
Conductor |
32144 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
64577296 = 24 · 74 · 412 |
Discriminant |
Eigenvalues |
2+ 3 3 7+ -1 -2 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-931,-10927] |
[a1,a2,a3,a4,a6] |
Generators |
[-3738:287:216] |
Generators of the group modulo torsion |
j |
2323060992/1681 |
j-invariant |
L |
11.645456434237 |
L(r)(E,1)/r! |
Ω |
0.86433280936543 |
Real period |
R |
2.2455579432778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16072b1 128576cc1 32144h1 |
Quadratic twists by: -4 8 -7 |