Atkin-Lehner |
2- 3+ 5- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650cl |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
720384 |
Modular degree for the optimal curve |
Δ |
-2818512000 = -1 · 27 · 32 · 53 · 232 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 -1 -6 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-131468,18292781] |
[a1,a2,a3,a4,a6] |
Generators |
[195:-443:1] |
Generators of the group modulo torsion |
j |
-2010361108421918357/22548096 |
j-invariant |
L |
10.339094319262 |
L(r)(E,1)/r! |
Ω |
1.0061227638094 |
Real period |
R |
0.18350313650622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127650bu1 |
Quadratic twists by: 5 |