Atkin-Lehner |
2+ 3- 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810ca |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.2950916280798E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19161954,-27245258852] |
[a1,a2,a3,a4,a6] |
Generators |
[-3231:32105:1] |
Generators of the group modulo torsion |
j |
1067371435810359511015969/177653172576098724120 |
j-invariant |
L |
6.1043703087137 |
L(r)(E,1)/r! |
Ω |
0.072974838775404 |
Real period |
R |
3.4854309355283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000089644 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270bw3 |
Quadratic twists by: -3 |