Atkin-Lehner |
2+ 3- 5+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650be |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-564338904785156250 = -1 · 2 · 310 · 512 · 232 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-354001,88731398] |
[a1,a2,a3,a4,a6] |
Generators |
[82:7721:1] |
Generators of the group modulo torsion |
j |
-313989690759978241/36117689906250 |
j-invariant |
L |
4.8512432384403 |
L(r)(E,1)/r! |
Ω |
0.28320548129403 |
Real period |
R |
0.85648823763352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999324023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25530bb2 |
Quadratic twists by: 5 |