Atkin-Lehner |
3- 5+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
10065i |
Isogeny class |
Conductor |
10065 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
2735214075 = 35 · 52 · 112 · 612 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-32386,2240585] |
[a1,a2,a3,a4,a6] |
Generators |
[119:-334:1] |
Generators of the group modulo torsion |
j |
3756613240458777889/2735214075 |
j-invariant |
L |
3.3367643333123 |
L(r)(E,1)/r! |
Ω |
1.1917574590664 |
Real period |
R |
0.2799868637639 |
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 |
30195l2 50325f2 110715m2 |
Quadratic twists by: -3 5 -11 |