Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33120bd |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
49979073600 = 26 · 310 · 52 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6213,188188] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:400:1] [24:230:1] |
Generators of the group modulo torsion |
j |
568486650304/1071225 |
j-invariant |
L |
8.0092365170472 |
L(r)(E,1)/r! |
Ω |
1.1281744781015 |
Real period |
R |
3.5496444355512 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33120g1 66240cs2 11040h1 |
Quadratic twists by: -4 8 -3 |