Atkin-Lehner |
2- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66640bu |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1932675153920000 = -1 · 218 · 54 · 74 · 173 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 3 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17356600,27837830000] |
[a1,a2,a3,a4,a6] |
Generators |
[2410:370:1] |
Generators of the group modulo torsion |
j |
-58798411541899527001/196520000 |
j-invariant |
L |
6.2243254193644 |
L(r)(E,1)/r! |
Ω |
0.3110700442915 |
Real period |
R |
2.5011751907644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000625 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330i2 66640bn2 |
Quadratic twists by: -4 -7 |