Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518bz |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-221841788976985914 = -1 · 2 · 37 · 116 · 315 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11- 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1519178,-720687085] |
[a1,a2,a3,a4,a6] |
Generators |
[15126:442397:8] |
Generators of the group modulo torsion |
j |
-300238092661681/171774906 |
j-invariant |
L |
10.71151467479 |
L(r)(E,1)/r! |
Ω |
0.067991169708163 |
Real period |
R |
7.8771366341315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000632 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22506p2 558d2 |
Quadratic twists by: -3 -11 |