Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400ba |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1446336000000 = 212 · 36 · 56 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3233,39663] |
[a1,a2,a3,a4,a6] |
Generators |
[103:-900:1] [-47:300:1] |
Generators of the group modulo torsion |
j |
58411072/22599 |
j-invariant |
L |
11.128477269638 |
L(r)(E,1)/r! |
Ω |
0.77568401631165 |
Real period |
R |
0.59777763000889 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998928 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74400bx2 2976d2 |
Quadratic twists by: -4 5 |