Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040cp |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
Δ |
4.7022239625997E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27618936,-45094566636] |
[a1,a2,a3,a4,a6] |
Generators |
[-3858:63648:1] |
Generators of the group modulo torsion |
j |
568832774079017834683129/114800389711906640625 |
j-invariant |
L |
6.387461238435 |
L(r)(E,1)/r! |
Ω |
0.066787781583079 |
Real period |
R |
1.3283079228089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998955 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3315c2 |
Quadratic twists by: -4 |