Atkin-Lehner |
2- 3+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
64614m |
Isogeny class |
Conductor |
64614 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-30562860535218 = -1 · 2 · 32 · 118 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6113,-325951] |
[a1,a2,a3,a4,a6] |
j |
-14260515625/17251938 |
j-invariant |
L |
4.1288534335343 |
L(r)(E,1)/r! |
Ω |
0.25805333877031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5874b2 |
Quadratic twists by: -11 |