Atkin-Lehner |
2- 5+ 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
116560k |
Isogeny class |
Conductor |
116560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
308736 |
Modular degree for the optimal curve |
Δ |
-26955087462400 = -1 · 214 · 52 · 313 · 472 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 2 -4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7424,44724] |
[a1,a2,a3,a4,a6] |
j |
11046359008511/6580831900 |
j-invariant |
L |
1.6305276336481 |
L(r)(E,1)/r! |
Ω |
0.40763193553173 |
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 |
14570i1 |
Quadratic twists by: -4 |