Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600cl |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
102022748100000000 = 28 · 36 · 58 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-269508,51523488] |
[a1,a2,a3,a4,a6] |
Generators |
[-402:9750:1] |
Generators of the group modulo torsion |
j |
541228074045136/25505687025 |
j-invariant |
L |
8.4843789062248 |
L(r)(E,1)/r! |
Ω |
0.33200184979853 |
Real period |
R |
0.53240032845412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999758 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109200h2 10920e2 |
Quadratic twists by: -4 5 |