Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
106032bb |
Isogeny class |
Conductor |
106032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5847552 |
Modular degree for the optimal curve |
Δ |
1.2376687728138E+20 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 -3 -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7752117,-8287813251] |
[a1,a2,a3,a4,a6] |
Generators |
[-1612:4141:1] |
Generators of the group modulo torsion |
j |
11239424/27 |
j-invariant |
L |
1.2005103526497 |
L(r)(E,1)/r! |
Ω |
0.090491369934985 |
Real period |
R |
6.633286408949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033451 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6627f1 106032y1 |
Quadratic twists by: -4 -47 |