Atkin-Lehner |
2+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
20102d |
Isogeny class |
Conductor |
20102 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
124992 |
Modular degree for the optimal curve |
Δ |
496440237359104 = 231 · 19 · 233 |
Discriminant |
Eigenvalues |
2+ 1 -3 2 1 6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-118105,15575740] |
[a1,a2,a3,a4,a6] |
j |
14974066929360239/40802189312 |
j-invariant |
L |
1.0503628981381 |
L(r)(E,1)/r! |
Ω |
0.52518144906905 |
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 |
20102i1 |
Quadratic twists by: -23 |