Atkin-Lehner |
2+ 3+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978i |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
317067362304 = 220 · 3 · 72 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 11- 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22187,-1281027] |
[a1,a2,a3,a4,a6] |
Generators |
[-10930:5977:125] |
Generators of the group modulo torsion |
j |
24652102605677449/6470762496 |
j-invariant |
L |
4.5472903139342 |
L(r)(E,1)/r! |
Ω |
0.39118230461546 |
Real period |
R |
2.9061196406148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54978q1 |
Quadratic twists by: -7 |