Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
10998t |
Isogeny class |
Conductor |
10998 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-1.5579152176015E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 -3 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1089814,-411210903] |
[a1,a2,a3,a4,a6] |
Generators |
[8399:771159:1] |
Generators of the group modulo torsion |
j |
196360308324344317607/213705791166184512 |
j-invariant |
L |
5.2457841886923 |
L(r)(E,1)/r! |
Ω |
0.09854448638274 |
Real period |
R |
0.21124067603876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87984bs1 3666d1 |
Quadratic twists by: -4 -3 |