Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200bz |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-21280000000000000 = -1 · 217 · 513 · 7 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -1 3 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28008,-7256012] |
[a1,a2,a3,a4,a6] |
Generators |
[8346:100000:27] |
Generators of the group modulo torsion |
j |
-37966934881/332500000 |
j-invariant |
L |
4.2089020251025 |
L(r)(E,1)/r! |
Ω |
0.16176970542538 |
Real period |
R |
1.6261164343376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999524 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650f1 10640be1 |
Quadratic twists by: -4 5 |