Atkin-Lehner |
2- 3- 7- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21714p |
Isogeny class |
Conductor |
21714 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-79551268651008 = -1 · 218 · 32 · 72 · 114 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,10752,0] |
[a1,a2,a3,a4,a6] |
Generators |
[48:768:1] |
Generators of the group modulo torsion |
j |
137463992931557375/79551268651008 |
j-invariant |
L |
9.8032895796374 |
L(r)(E,1)/r! |
Ω |
0.36405361816059 |
Real period |
R |
0.37400205059114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65142i1 |
Quadratic twists by: -3 |