Atkin-Lehner |
2- 3+ 5+ 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
106050bj |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
7375872 |
Modular degree for the optimal curve |
Δ |
223530937517260800 = 214 · 38 · 52 · 77 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -1 -4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-44199138,113083198191] |
[a1,a2,a3,a4,a6] |
Generators |
[3841:-1597:1] |
Generators of the group modulo torsion |
j |
381966348272400424821015625/8941237500690432 |
j-invariant |
L |
6.8078659704286 |
L(r)(E,1)/r! |
Ω |
0.22810816183733 |
Real period |
R |
1.065889387434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106050bc1 |
Quadratic twists by: 5 |