Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400bq |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-138254021856000000 = -1 · 211 · 311 · 56 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -2 -4 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1332075,592024250] |
[a1,a2,a3,a4,a6] |
Generators |
[559:4698:1] |
Generators of the group modulo torsion |
j |
-11205525764162/5926527 |
j-invariant |
L |
4.1658812474842 |
L(r)(E,1)/r! |
Ω |
0.32324209547685 |
Real period |
R |
0.53699189423128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009589 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52200cb1 34800f1 4176i1 |
Quadratic twists by: -4 -3 5 |