Atkin-Lehner |
2+ 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090d |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
296755200 |
Modular degree for the optimal curve |
Δ |
8.9589930763415E+30 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5201161073,10311006718677] |
[a1,a2,a3,a4,a6] |
Generators |
[3347906:6122665247:1] |
Generators of the group modulo torsion |
j |
8639211347488146591503/4974033166663680000 |
j-invariant |
L |
3.3172267401162 |
L(r)(E,1)/r! |
Ω |
0.019718794612915 |
Real period |
R |
6.0080945872157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033367 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111090j1 |
Quadratic twists by: -23 |