Atkin-Lehner |
3+ 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
110019n |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3111367457614689 = 34 · 72 · 138 · 312 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-159201,-24368040] |
[a1,a2,a3,a4,a6] |
Generators |
[175755588:5980552574:132651] |
Generators of the group modulo torsion |
j |
92449642233313/644601321 |
j-invariant |
L |
5.4352997327893 |
L(r)(E,1)/r! |
Ω |
0.2391086265751 |
Real period |
R |
11.365754162132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952053 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8463a2 |
Quadratic twists by: 13 |