Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15840m |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-2886840000 = -1 · 26 · 38 · 54 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-93,-2608] |
[a1,a2,a3,a4,a6] |
Generators |
[41:250:1] |
Generators of the group modulo torsion |
j |
-1906624/61875 |
j-invariant |
L |
4.8934594901077 |
L(r)(E,1)/r! |
Ω |
0.6223481909407 |
Real period |
R |
1.965724156244 |
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 |
15840e1 31680dk2 5280l1 79200ec1 |
Quadratic twists by: -4 8 -3 5 |