Atkin-Lehner |
2+ 3+ 5- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
119970f |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
494592 |
Modular degree for the optimal curve |
Δ |
333152505446400 = 214 · 39 · 52 · 312 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17484,-139312] |
[a1,a2,a3,a4,a6] |
j |
30030930248787/16925900800 |
j-invariant |
L |
1.7883202724778 |
L(r)(E,1)/r! |
Ω |
0.44708001423152 |
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 |
119970be1 |
Quadratic twists by: -3 |