Atkin-Lehner |
2+ 5- 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
60680b |
Isogeny class |
Conductor |
60680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-970880000 = -1 · 210 · 54 · 37 · 41 |
Discriminant |
Eigenvalues |
2+ -1 5- 0 3 3 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,120,1372] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:20:1] |
Generators of the group modulo torsion |
j |
185073116/948125 |
j-invariant |
L |
5.4926083691524 |
L(r)(E,1)/r! |
Ω |
1.126706103948 |
Real period |
R |
0.60936569328157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121360h1 |
Quadratic twists by: -4 |