Atkin-Lehner |
2- 3+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
53664k |
Isogeny class |
Conductor |
53664 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.3511154514097E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21604817,38658978657] |
[a1,a2,a3,a4,a6] |
j |
272279886183701546713408/3298621707543123 |
j-invariant |
L |
3.250581557984 |
L(r)(E,1)/r! |
Ω |
0.2031613472478 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53664f4 107328r1 |
Quadratic twists by: -4 8 |