Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
38304bb |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
2.1192948512378E+22 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22383675,40154753214] |
[a1,a2,a3,a4,a6] |
Generators |
[65010:399266:27] |
Generators of the group modulo torsion |
j |
123071256063948375000/2102955726425743 |
j-invariant |
L |
6.2473564090215 |
L(r)(E,1)/r! |
Ω |
0.12124637052251 |
Real period |
R |
5.1526131315099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304bd2 76608cv2 38304b2 |
Quadratic twists by: -4 8 -3 |