Atkin-Lehner |
2- 3- 37+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
129648ba |
Isogeny class |
Conductor |
129648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
3684077568 = 212 · 32 · 372 · 73 |
Discriminant |
Eigenvalues |
2- 3- 4 -4 0 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-416,1332] |
[a1,a2,a3,a4,a6] |
j |
1948441249/899433 |
j-invariant |
L |
5.0151343445706 |
L(r)(E,1)/r! |
Ω |
1.2537837696192 |
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 |
8103c1 |
Quadratic twists by: -4 |