Atkin-Lehner |
2- 3- 7+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
42294w |
Isogeny class |
Conductor |
42294 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1366899786 = 2 · 36 · 72 · 192 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -6 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27712,-1777930] |
[a1,a2,a3,a4,a6] |
Generators |
[12308:1541:64] |
Generators of the group modulo torsion |
j |
2353576410908255233/1366899786 |
j-invariant |
L |
11.804954083102 |
L(r)(E,1)/r! |
Ω |
0.37002623823976 |
Real period |
R |
5.3171698216416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126882q2 |
Quadratic twists by: -3 |