Atkin-Lehner |
2- 13- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
51272c |
Isogeny class |
Conductor |
51272 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
10356092474624 = 28 · 136 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 0 -2 0 2 13- 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45431,3723930] |
[a1,a2,a3,a4,a6] |
Generators |
[-199:2210:1] [-43:2366:1] |
Generators of the group modulo torsion |
j |
40507984568732112/40453486229 |
j-invariant |
L |
8.6771403307048 |
L(r)(E,1)/r! |
Ω |
0.71910703817481 |
Real period |
R |
1.0055457521235 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102544c2 |
Quadratic twists by: -4 |