Atkin-Lehner |
2+ 3- 7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
123354z |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
155344896 |
Modular degree for the optimal curve |
Δ |
-1.8367084996035E+29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3300682572,75845853599008] |
[a1,a2,a3,a4,a6] |
Generators |
[45123:4311247:1] |
Generators of the group modulo torsion |
j |
-5455159636747919515186674066625/251949039726133410413517072 |
j-invariant |
L |
4.9120623864792 |
L(r)(E,1)/r! |
Ω |
0.031666763418707 |
Real period |
R |
9.694830228098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000128247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41118k1 |
Quadratic twists by: -3 |