Atkin-Lehner |
2- 3+ 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
106050be |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-3673890150000000 = -1 · 27 · 3 · 58 · 74 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,38312,432281] |
[a1,a2,a3,a4,a6] |
Generators |
[1:685:1] [115:-2583:1] |
Generators of the group modulo torsion |
j |
398022341015879/235128969600 |
j-invariant |
L |
14.287914940432 |
L(r)(E,1)/r! |
Ω |
0.26967439622564 |
Real period |
R |
1.8922177395039 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210p2 |
Quadratic twists by: 5 |