Atkin-Lehner |
2- 3+ 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040bq |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10127669760000 = 212 · 34 · 54 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15696,746496] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:1224:1] [-40:1144:1] |
Generators of the group modulo torsion |
j |
104413920565969/2472575625 |
j-invariant |
L |
7.1265850226941 |
L(r)(E,1)/r! |
Ω |
0.72285494454824 |
Real period |
R |
2.4647355172859 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3315e2 |
Quadratic twists by: -4 |