Atkin-Lehner |
2- 3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890dy |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-412693868160 = -1 · 27 · 33 · 5 · 77 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 1 -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1828,-7521] |
[a1,a2,a3,a4,a6] |
Generators |
[9:93:1] |
Generators of the group modulo torsion |
j |
212776173/129920 |
j-invariant |
L |
12.487938407828 |
L(r)(E,1)/r! |
Ω |
0.54774303813275 |
Real period |
R |
0.40712320320678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964563 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890c1 18270bb1 |
Quadratic twists by: -3 -7 |