Atkin-Lehner |
3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55545f |
Isogeny class |
Conductor |
55545 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
69933667630565025 = 36 · 52 · 72 · 238 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-172465,-24527770] |
[a1,a2,a3,a4,a6] |
j |
3832302404449/472410225 |
j-invariant |
L |
0.47233629623686 |
L(r)(E,1)/r! |
Ω |
0.23616814908011 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2415a2 |
Quadratic twists by: -23 |