Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
123420s |
Isogeny class |
Conductor |
123420 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-29490113030400 = -1 · 28 · 32 · 52 · 116 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2380,256632] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:390:1] |
Generators of the group modulo torsion |
j |
3286064/65025 |
j-invariant |
L |
6.4336787662068 |
L(r)(E,1)/r! |
Ω |
0.49475029442547 |
Real period |
R |
3.2509726757864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018883 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1020b2 |
Quadratic twists by: -11 |