Atkin-Lehner |
2+ 3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978bf |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-1.0218492767382E+20 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11- 1 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2387404,-1501019110] |
[a1,a2,a3,a4,a6] |
Generators |
[2125:-56041:1] |
Generators of the group modulo torsion |
j |
-12791249261627475241/868557554027856 |
j-invariant |
L |
4.960555245706 |
L(r)(E,1)/r! |
Ω |
0.060490922383334 |
Real period |
R |
0.12203118002613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7854g1 |
Quadratic twists by: -7 |