Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
54684u |
Isogeny class |
Conductor |
54684 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-3445739677296 = -1 · 24 · 310 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -2 4 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1029,90209] |
[a1,a2,a3,a4,a6] |
Generators |
[16:279:1] |
Generators of the group modulo torsion |
j |
-87808/2511 |
j-invariant |
L |
4.1781714142197 |
L(r)(E,1)/r! |
Ω |
0.66217743395973 |
Real period |
R |
3.1548729992417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18228h1 1116b1 |
Quadratic twists by: -3 -7 |