Atkin-Lehner |
2+ 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978ba |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
628992 |
Modular degree for the optimal curve |
Δ |
-244833058882816866 = -1 · 2 · 36 · 710 · 112 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11- 4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,17957,23789840] |
[a1,a2,a3,a4,a6] |
j |
2267145671/866741634 |
j-invariant |
L |
2.910007983136 |
L(r)(E,1)/r! |
Ω |
0.24250066524985 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54978f1 |
Quadratic twists by: -7 |