Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
106134n |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8294400 |
Modular degree for the optimal curve |
Δ |
5.714627674657E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 2 -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6262274,-4814489868] |
[a1,a2,a3,a4,a6] |
Generators |
[-3062748:-74850450:2197] |
Generators of the group modulo torsion |
j |
4906933498657/1032471552 |
j-invariant |
L |
4.5754234394194 |
L(r)(E,1)/r! |
Ω |
0.096855245372662 |
Real period |
R |
5.9049762872924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047243 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15162k1 5586z1 |
Quadratic twists by: -7 -19 |