Atkin-Lehner |
2- 3- 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650cw |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
8830080 |
Modular degree for the optimal curve |
Δ |
1769097959296875000 = 23 · 37 · 510 · 234 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 3 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19174388,-32318485608] |
[a1,a2,a3,a4,a6] |
Generators |
[-315670:162596:125] |
Generators of the group modulo torsion |
j |
79834057745662796425/181155631032 |
j-invariant |
L |
10.289971818007 |
L(r)(E,1)/r! |
Ω |
0.072147159282771 |
Real period |
R |
3.3958277756742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127650w1 |
Quadratic twists by: 5 |