Atkin-Lehner |
2+ 3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890ba |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-1411665806250 = -1 · 2 · 33 · 55 · 73 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -5 -2 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,411,-57177] |
[a1,a2,a3,a4,a6] |
Generators |
[37:69:1] [39:111:1] |
Generators of the group modulo torsion |
j |
827936019/152431250 |
j-invariant |
L |
9.6531974633306 |
L(r)(E,1)/r! |
Ω |
0.40242237215524 |
Real period |
R |
0.39979542764093 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000129 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890dl1 127890p1 |
Quadratic twists by: -3 -7 |