Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800bc |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8281000000000 = 29 · 59 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 2 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65875,-6506250] |
[a1,a2,a3,a4,a6] |
Generators |
[-4002:1036:27] |
Generators of the group modulo torsion |
j |
31614447528/8281 |
j-invariant |
L |
5.8634687629667 |
L(r)(E,1)/r! |
Ω |
0.29800683443924 |
Real period |
R |
4.9189046070921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991375 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72800t2 72800bw2 |
Quadratic twists by: -4 5 |