Atkin-Lehner |
2- 3+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978br |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
-2.3886534971892E+24 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-813125993,8924491237367] |
[a1,a2,a3,a4,a6] |
Generators |
[27257:2634478:1] |
Generators of the group modulo torsion |
j |
-505369473241574671219626625/20303219722982711328 |
j-invariant |
L |
8.6714691140029 |
L(r)(E,1)/r! |
Ω |
0.076629346310605 |
Real period |
R |
0.94301003591004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1122m4 |
Quadratic twists by: -7 |