Atkin-Lehner |
2+ 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8610g |
Isogeny class |
Conductor |
8610 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-2118458195280 = -1 · 24 · 38 · 5 · 74 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2964,93346] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:387:1] |
Generators of the group modulo torsion |
j |
-2878376935864249/2118458195280 |
j-invariant |
L |
3.5155424926612 |
L(r)(E,1)/r! |
Ω |
0.75888667342084 |
Real period |
R |
0.14476562409568 |
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 |
68880bg2 25830bk2 43050bg2 60270h2 |
Quadratic twists by: -4 -3 5 -7 |