Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
54096by |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2427347962109952 = 213 · 32 · 76 · 234 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83904,-9021312] |
[a1,a2,a3,a4,a6] |
Generators |
[-184:392:1] [-168:552:1] |
Generators of the group modulo torsion |
j |
135559106353/5037138 |
j-invariant |
L |
7.6728293513653 |
L(r)(E,1)/r! |
Ω |
0.28115468793133 |
Real period |
R |
0.85282560641053 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6762bi4 1104h4 |
Quadratic twists by: -4 -7 |