Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510by |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
-2.6815816304771E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2083734,-1399872510] |
[a1,a2,a3,a4,a6] |
Generators |
[2361:81507:1] |
Generators of the group modulo torsion |
j |
-11666347147400401/3126621093750 |
j-invariant |
L |
4.1233885487329 |
L(r)(E,1)/r! |
Ω |
0.061962211850455 |
Real period |
R |
0.83183532865714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170by2 6930j2 |
Quadratic twists by: -3 -7 |