Atkin-Lehner |
3+ 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
65325b |
Isogeny class |
Conductor |
65325 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
174228128876953125 = 33 · 510 · 133 · 673 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 6 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-387083,-90364057] |
[a1,a2,a3,a4,a6] |
Generators |
[-442681086934405:-728146080140687:1110325488875] |
Generators of the group modulo torsion |
j |
656805960908800/17840960397 |
j-invariant |
L |
4.6495399725995 |
L(r)(E,1)/r! |
Ω |
0.19172058322808 |
Real period |
R |
24.251647341737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65325bb2 |
Quadratic twists by: 5 |