Atkin-Lehner |
2- 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
120540bk |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-1.0296588913973E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 0 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,285115,-142737225] |
[a1,a2,a3,a4,a6] |
Generators |
[8290:756315:1] |
Generators of the group modulo torsion |
j |
85104824877056/341873287875 |
j-invariant |
L |
8.5574063049519 |
L(r)(E,1)/r! |
Ω |
0.11588474861882 |
Real period |
R |
1.5384189885912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014389 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17220c1 |
Quadratic twists by: -7 |