Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
72800cd |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
249704000 = 26 · 53 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -2 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-185,600] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:28:1] |
Generators of the group modulo torsion |
j |
87528384/31213 |
j-invariant |
L |
5.7589612734577 |
L(r)(E,1)/r! |
Ω |
1.6072607087532 |
Real period |
R |
0.89577273354569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998361 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72800bw1 72800t1 |
Quadratic twists by: -4 5 |