Atkin-Lehner |
2- 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
8710i |
Isogeny class |
Conductor |
8710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-61884676991016100 = -1 · 22 · 52 · 1310 · 672 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,57089,10760541] |
[a1,a2,a3,a4,a6] |
Generators |
[70:3851:1] |
Generators of the group modulo torsion |
j |
20576928282504922511/61884676991016100 |
j-invariant |
L |
3.4479814692151 |
L(r)(E,1)/r! |
Ω |
0.24677365057572 |
Real period |
R |
3.4930608081242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69680p2 78390x2 43550h2 113230l2 |
Quadratic twists by: -4 -3 5 13 |