Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
32760j |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-3731568750000 = -1 · 24 · 38 · 58 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,582,-92783] |
[a1,a2,a3,a4,a6] |
Generators |
[29704:188991:512] |
Generators of the group modulo torsion |
j |
1869154304/319921875 |
j-invariant |
L |
5.6211087580874 |
L(r)(E,1)/r! |
Ω |
0.37136292143476 |
Real period |
R |
7.5682148561982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520ba1 10920t1 |
Quadratic twists by: -4 -3 |