Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890p |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1881600 |
Modular degree for the optimal curve |
Δ |
-166081070439506250 = -1 · 2 · 33 · 55 · 79 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -5 2 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,20130,19571446] |
[a1,a2,a3,a4,a6] |
Generators |
[135:-5041:1] |
Generators of the group modulo torsion |
j |
827936019/152431250 |
j-invariant |
L |
2.872008339448 |
L(r)(E,1)/r! |
Ω |
0.24890287390021 |
Real period |
R |
0.96155590521282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000268 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890dw1 127890ba1 |
Quadratic twists by: -3 -7 |