Atkin-Lehner |
2- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850dh |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
72057600 |
Modular degree for the optimal curve |
Δ |
-3.2337683199661E+26 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -6 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-637323805,6253122908197] |
[a1,a2,a3,a4,a6] |
Generators |
[-16181:3519340:1] |
Generators of the group modulo torsion |
j |
-299142427403768510953629/3378957918005384192 |
j-invariant |
L |
7.5191572101088 |
L(r)(E,1)/r! |
Ω |
0.054478026345874 |
Real period |
R |
0.76678798003834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999601388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850x1 129850da1 |
Quadratic twists by: 5 -7 |