Atkin-Lehner |
2+ 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
76320f |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
970790400 = 29 · 33 · 52 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -6 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-747,7714] |
[a1,a2,a3,a4,a6] |
Generators |
[18:10:1] |
Generators of the group modulo torsion |
j |
3334661784/70225 |
j-invariant |
L |
5.6996482143924 |
L(r)(E,1)/r! |
Ω |
1.5647570867347 |
Real period |
R |
1.8212565589012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996267 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76320z2 76320u2 |
Quadratic twists by: -4 -3 |