Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966cd |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2177280 |
Modular degree for the optimal curve |
Δ |
-5890981662889644384 = -1 · 25 · 33 · 710 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -3 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,332488,90532838] |
[a1,a2,a3,a4,a6] |
Generators |
[466080:28590746:125] |
Generators of the group modulo torsion |
j |
596183/864 |
j-invariant |
L |
7.7598251186289 |
L(r)(E,1)/r! |
Ω |
0.16233006358766 |
Real period |
R |
7.967126714827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001618 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966e1 294e1 |
Quadratic twists by: -7 17 |