Atkin-Lehner |
2+ 3+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75840a |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-191447438131200 = -1 · 216 · 3 · 52 · 794 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1921,-665855] |
[a1,a2,a3,a4,a6] |
Generators |
[117285:2129380:343] |
Generators of the group modulo torsion |
j |
-11968836484/2921256075 |
j-invariant |
L |
4.6536389824502 |
L(r)(E,1)/r! |
Ω |
0.25318878574716 |
Real period |
R |
9.19005746969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979699 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75840ce3 9480b4 |
Quadratic twists by: -4 8 |