Atkin-Lehner |
2- 3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960bt |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
371427840000 = 212 · 32 · 54 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48496,4126720] |
[a1,a2,a3,a4,a6] |
Generators |
[136:-168:1] |
Generators of the group modulo torsion |
j |
3079572809565169/90680625 |
j-invariant |
L |
4.9865170554483 |
L(r)(E,1)/r! |
Ω |
0.88789095036595 |
Real period |
R |
0.46801140135677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000512 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4935e1 |
Quadratic twists by: -4 |