Atkin-Lehner |
2- 3+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978bj |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
36881170401270888 = 23 · 33 · 79 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-380437,-90002221] |
[a1,a2,a3,a4,a6] |
Generators |
[212345:-8177782:125] |
Generators of the group modulo torsion |
j |
150900148890919/913949784 |
j-invariant |
L |
9.2154248636571 |
L(r)(E,1)/r! |
Ω |
0.19230354598008 |
Real period |
R |
7.986873752763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999435 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54978by2 |
Quadratic twists by: -7 |