Atkin-Lehner |
2+ 3+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650d |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5581125000 = 23 · 32 · 56 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-43750,-3540500] |
[a1,a2,a3,a4,a6] |
Generators |
[21940:288505:64] |
Generators of the group modulo torsion |
j |
592725168252001/357192 |
j-invariant |
L |
3.6673240583109 |
L(r)(E,1)/r! |
Ω |
0.33010626251977 |
Real period |
R |
5.5547629284538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981467 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2706q2 |
Quadratic twists by: 5 |