Atkin-Lehner |
3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64575s |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
675930861703125 = 37 · 56 · 7 · 414 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33080,-1940578] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:555:1] |
Generators of the group modulo torsion |
j |
351447414193/59340981 |
j-invariant |
L |
3.2046614912758 |
L(r)(E,1)/r! |
Ω |
0.35807423062614 |
Real period |
R |
0.55935704413185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21525v3 2583e3 |
Quadratic twists by: -3 5 |