Atkin-Lehner |
2- 5- 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
121900i |
Isogeny class |
Conductor |
121900 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
1483157300000000 = 28 · 58 · 234 · 53 |
Discriminant |
Eigenvalues |
2- 2 5- -1 -3 -6 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57333,4967537] |
[a1,a2,a3,a4,a6] |
Generators |
[-157:3174:1] [167:150:1] |
Generators of the group modulo torsion |
j |
208422830080/14831573 |
j-invariant |
L |
15.538721650851 |
L(r)(E,1)/r! |
Ω |
0.46833752100104 |
Real period |
R |
1.8432482457146 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121900f1 |
Quadratic twists by: 5 |