Atkin-Lehner |
2- 3- 5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810ec |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.0061255644952E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-695732,58934769] |
[a1,a2,a3,a4,a6] |
Generators |
[2676:348683:64] |
Generators of the group modulo torsion |
j |
51088309922344150009/27518869197465030 |
j-invariant |
L |
10.75075020259 |
L(r)(E,1)/r! |
Ω |
0.18894586909272 |
Real period |
R |
7.1123215435326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270b4 |
Quadratic twists by: -3 |