Atkin-Lehner |
2- 3- 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810ef |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
1440 |
Product of Tamagawa factors cp |
deg |
85155840 |
Modular degree for the optimal curve |
Δ |
-2.8423908151731E+28 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,531956938,6594942124869] |
[a1,a2,a3,a4,a6] |
Generators |
[-4951:1962027:1] |
Generators of the group modulo torsion |
j |
22836293554064983709494580711/38990271813074615296327680 |
j-invariant |
L |
12.481855571538 |
L(r)(E,1)/r! |
Ω |
0.025578886110124 |
Real period |
R |
1.3554859508768 |
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 |
39270i1 |
Quadratic twists by: -3 |