Atkin-Lehner |
2- 3+ 5+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
127920w |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-32203419955200 = -1 · 212 · 33 · 52 · 132 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 1 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53381,4772781] |
[a1,a2,a3,a4,a6] |
j |
-4107069156265984/7862163075 |
j-invariant |
L |
2.6326216420389 |
L(r)(E,1)/r! |
Ω |
0.65815548912026 |
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 |
7995e1 |
Quadratic twists by: -4 |