Atkin-Lehner |
2- 7- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
41272i |
Isogeny class |
Conductor |
41272 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-973358848 = -1 · 28 · 7 · 112 · 672 |
Discriminant |
Eigenvalues |
2- 0 -4 7- 11+ 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,193,1090] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:22:1] |
Generators of the group modulo torsion |
j |
3105672624/3802183 |
j-invariant |
L |
3.1543200784445 |
L(r)(E,1)/r! |
Ω |
1.0482244109567 |
Real period |
R |
0.75230075866178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82544k1 |
Quadratic twists by: -4 |