Atkin-Lehner |
2- 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550dx |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
27095040 |
Modular degree for the optimal curve |
Δ |
-2.4764693084569E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,72586120,-25868373253] |
[a1,a2,a3,a4,a6] |
Generators |
[1149:242425:1] |
Generators of the group modulo torsion |
j |
3713102264066983114319/2174129434036224000 |
j-invariant |
L |
11.360045732951 |
L(r)(E,1)/r! |
Ω |
0.039568067099047 |
Real period |
R |
1.2817024784012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38850z1 23310n1 |
Quadratic twists by: -3 5 |