Atkin-Lehner |
2- 3- 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810ef |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
Δ |
1.3067169221263E+30 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3727609142,68181452335941] |
[a1,a2,a3,a4,a6] |
Generators |
[2231:7736859:1] |
Generators of the group modulo torsion |
j |
7857552442072520325669578770969/1792478631174686569867737600 |
j-invariant |
L |
12.481855571538 |
L(r)(E,1)/r! |
Ω |
0.025578886110124 |
Real period |
R |
2.7109719017535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270i2 |
Quadratic twists by: -3 |