Atkin-Lehner |
2+ 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63840k |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
12481358400 = 26 · 32 · 52 · 74 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-610,2392] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:60:1] |
Generators of the group modulo torsion |
j |
392866508224/195021225 |
j-invariant |
L |
5.3904024215228 |
L(r)(E,1)/r! |
Ω |
1.121726750687 |
Real period |
R |
2.4027252707784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999172 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63840bz1 127680bw2 |
Quadratic twists by: -4 8 |