Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31920i |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
4291835520000 = 210 · 3 · 54 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10960,-426608] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:70:1] |
Generators of the group modulo torsion |
j |
142198509015364/4191245625 |
j-invariant |
L |
5.3361827563746 |
L(r)(E,1)/r! |
Ω |
0.46744056595066 |
Real period |
R |
0.47565608203065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15960h1 127680fn1 95760y1 |
Quadratic twists by: -4 8 -3 |