Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810bi |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
8582419776000 = 29 · 3 · 53 · 73 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7589,-212464] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:222:1] |
Generators of the group modulo torsion |
j |
370834986169/65856000 |
j-invariant |
L |
4.600530964647 |
L(r)(E,1)/r! |
Ω |
0.51774822869547 |
Real period |
R |
0.98729474810453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75810cg2 |
Quadratic twists by: -19 |