Atkin-Lehner |
2+ 3- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
93138s |
Isogeny class |
Conductor |
93138 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
5534853807888 = 24 · 32 · 197 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4701,50344] |
[a1,a2,a3,a4,a6] |
j |
244140625/117648 |
j-invariant |
L |
1.3557034740409 |
L(r)(E,1)/r! |
Ω |
0.677851844302 |
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 |
4902j1 |
Quadratic twists by: -19 |