Atkin-Lehner |
2+ 5+ 23+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
118450c |
Isogeny class |
Conductor |
118450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
14806250000 = 24 · 58 · 23 · 103 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 0 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1067,12341] |
[a1,a2,a3,a4,a6] |
j |
8602523649/947600 |
j-invariant |
L |
2.4168119779909 |
L(r)(E,1)/r! |
Ω |
1.2084058295721 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23690g1 |
Quadratic twists by: 5 |