Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810l |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
96820423098000 = 24 · 3 · 53 · 73 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-967848,366083952] |
[a1,a2,a3,a4,a6] |
Generators |
[572:-104:1] |
Generators of the group modulo torsion |
j |
2131200347946769/2058000 |
j-invariant |
L |
3.156345117 |
L(r)(E,1)/r! |
Ω |
0.50287250089341 |
Real period |
R |
2.0922103264089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977543 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
210a3 |
Quadratic twists by: -19 |