Atkin-Lehner |
2+ 3- 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270bb |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
28551489120 = 25 · 36 · 5 · 7 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6079,-182734] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:26:1] |
Generators of the group modulo torsion |
j |
24838046779909609/28551489120 |
j-invariant |
L |
4.5552074339864 |
L(r)(E,1)/r! |
Ω |
0.54072948631426 |
Real period |
R |
1.4040315133778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810ew2 |
Quadratic twists by: -3 |