Atkin-Lehner |
3- 11- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
117249bc |
Isogeny class |
Conductor |
117249 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
19337760 |
Modular degree for the optimal curve |
Δ |
-2.9839309984628E+24 |
Discriminant |
Eigenvalues |
-1 3- 2 -3 11- -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-65262502,-219293711515] |
[a1,a2,a3,a4,a6] |
Generators |
[9589:186583:1] |
Generators of the group modulo torsion |
j |
-2099636580125146614568753/203806502183105465649 |
j-invariant |
L |
5.1425371692023 |
L(r)(E,1)/r! |
Ω |
0.026412939659999 |
Real period |
R |
4.9922473552796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999943323 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117249k1 |
Quadratic twists by: -11 |