Atkin-Lehner |
2+ 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
75840t |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2329440768000 = 212 · 36 · 53 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-486105,130611897] |
[a1,a2,a3,a4,a6] |
Generators |
[339:2160:1] |
Generators of the group modulo torsion |
j |
3101379573073698496/568711125 |
j-invariant |
L |
6.0661448647464 |
L(r)(E,1)/r! |
Ω |
0.64515330764414 |
Real period |
R |
1.5671068135356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999409 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75840bk2 37920q1 |
Quadratic twists by: -4 8 |