Atkin-Lehner |
2+ 3- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129456m |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16171008 |
Modular degree for the optimal curve |
Δ |
-1.4891601198499E+24 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 -2 4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24836829,34312463957] |
[a1,a2,a3,a4,a6] |
Generators |
[-146750189625436:1459827329468463:113872553423] |
Generators of the group modulo torsion |
j |
145266222352610362318592/127671478039257815151 |
j-invariant |
L |
9.7110990818558 |
L(r)(E,1)/r! |
Ω |
0.055291242786955 |
Real period |
R |
21.954423956598 |
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 |
64728p1 43152a1 |
Quadratic twists by: -4 -3 |