Atkin-Lehner |
3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18975b |
Isogeny class |
Conductor |
18975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
953856 |
Modular degree for the optimal curve |
Δ |
-2.5480690962369E+20 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 11+ 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-10520883,13160830043] |
[a1,a2,a3,a4,a6] |
j |
-8242525516078490484736/16307642215915875 |
j-invariant |
L |
1.4017280272355 |
L(r)(E,1)/r! |
Ω |
0.17521600340444 |
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 |
56925s1 3795i1 |
Quadratic twists by: -3 5 |