Atkin-Lehner |
2+ 3- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
64890v |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-49727667758580 = -1 · 22 · 314 · 5 · 72 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9990,515160] |
[a1,a2,a3,a4,a6] |
Generators |
[61:-391:1] [-42:948:1] |
Generators of the group modulo torsion |
j |
-151257563987041/68213536020 |
j-invariant |
L |
7.3051171246408 |
L(r)(E,1)/r! |
Ω |
0.59289880964512 |
Real period |
R |
1.5401272961333 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21630bi2 |
Quadratic twists by: -3 |