Atkin-Lehner |
2+ 3+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
86904a |
Isogeny class |
Conductor |
86904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-431814157056 = -1 · 28 · 39 · 17 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1809,-11070] |
[a1,a2,a3,a4,a6] |
Generators |
[7:44:1] |
Generators of the group modulo torsion |
j |
129929616/85697 |
j-invariant |
L |
3.3267460980814 |
L(r)(E,1)/r! |
Ω |
0.53668442946465 |
Real period |
R |
3.0993503019552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003155 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86904i2 |
Quadratic twists by: -3 |