Atkin-Lehner |
2+ 3- 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810ce |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
Δ |
8165200808590402500 = 22 · 38 · 54 · 76 · 114 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-947709,327652465] |
[a1,a2,a3,a4,a6] |
Generators |
[-1029:15092:1] [-1015:16100:1] |
Generators of the group modulo torsion |
j |
129128306828616880849/11200549806022500 |
j-invariant |
L |
9.8450777153103 |
L(r)(E,1)/r! |
Ω |
0.22734733907514 |
Real period |
R |
0.4510846410372 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002959 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39270bv2 |
Quadratic twists by: -3 |