Atkin-Lehner |
3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13965c |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
206496468900225 = 34 · 52 · 710 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16416,-428016] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:420:1] |
Generators of the group modulo torsion |
j |
4158523459441/1755191025 |
j-invariant |
L |
1.949098794631 |
L(r)(E,1)/r! |
Ω |
0.43799249147024 |
Real period |
R |
2.2250367672838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41895bt2 69825bw2 1995h2 |
Quadratic twists by: -3 5 -7 |