Atkin-Lehner |
3- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
94299i |
Isogeny class |
Conductor |
94299 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
242509680 |
Modular degree for the optimal curve |
Δ |
-7.6173679985332E+21 |
Discriminant |
Eigenvalues |
-2 3- -4 -3 0 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-52971088210,-4692541154572220] |
[a1,a2,a3,a4,a6] |
Generators |
[4497432212424722:5339049154265540233:3105745579] |
Generators of the group modulo torsion |
j |
-1406347845947819007963136/651714363 |
j-invariant |
L |
2.3063698974578 |
L(r)(E,1)/r! |
Ω |
0.0049757647063463 |
Real period |
R |
25.751149528123 |
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 |
94299e1 |
Quadratic twists by: -43 |