Atkin-Lehner |
3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
64251h |
Isogeny class |
Conductor |
64251 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
20146948148547 = 33 · 118 · 592 |
Discriminant |
Eigenvalues |
1 3+ 0 -4 11- 6 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-234702,43822829] |
[a1,a2,a3,a4,a6] |
Generators |
[2510:6731:8] |
Generators of the group modulo torsion |
j |
29892018967875/421201 |
j-invariant |
L |
4.8432547214835 |
L(r)(E,1)/r! |
Ω |
0.62407218477142 |
Real period |
R |
1.9401820973536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000174 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64251d2 5841b2 |
Quadratic twists by: -3 -11 |