Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1610d |
Isogeny class |
Conductor |
1610 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-2489452840 = -1 · 23 · 5 · 76 · 232 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,49,2401] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:17:1] |
Generators of the group modulo torsion |
j |
12994449551/2489452840 |
j-invariant |
L |
2.945888697275 |
L(r)(E,1)/r! |
Ω |
1.1174152604193 |
Real period |
R |
2.6363419237442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
12880n2 51520bg2 14490ba2 8050g2 |
Quadratic twists by: -4 8 -3 5 |