Atkin-Lehner |
2- 3+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
12078r |
Isogeny class |
Conductor |
12078 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-393154698024 = -1 · 23 · 39 · 11 · 613 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 11- -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3701,-90827] |
[a1,a2,a3,a4,a6] |
j |
-284760442539/19974328 |
j-invariant |
L |
5.4868084390842 |
L(r)(E,1)/r! |
Ω |
0.30482269106023 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96624w2 12078b1 |
Quadratic twists by: -4 -3 |