Atkin-Lehner |
2+ 3+ 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810r |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.2487080515298E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-201118884,-1084515379120] |
[a1,a2,a3,a4,a6] |
Generators |
[-1009720:14729756:125] |
Generators of the group modulo torsion |
j |
45707868816417312211659987/634409414992552263680 |
j-invariant |
L |
5.3378887764573 |
L(r)(E,1)/r! |
Ω |
0.040123723930922 |
Real period |
R |
2.7715776388819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012642 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810cl2 |
Quadratic twists by: -3 |