Atkin-Lehner |
2- 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
8510g |
Isogeny class |
Conductor |
8510 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
983968750 = 2 · 56 · 23 · 372 |
Discriminant |
Eigenvalues |
2- 0 5- 4 0 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-342,1991] |
[a1,a2,a3,a4,a6] |
j |
4411750929201/983968750 |
j-invariant |
L |
4.4232924343074 |
L(r)(E,1)/r! |
Ω |
1.4744308114358 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68080s2 76590t2 42550e2 |
Quadratic twists by: -4 -3 5 |