Atkin-Lehner |
2- 3+ 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18870s |
Isogeny class |
Conductor |
18870 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
167286930552562500 = 22 · 34 · 56 · 176 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-475116,124307913] |
[a1,a2,a3,a4,a6] |
Generators |
[-791:2843:1] |
Generators of the group modulo torsion |
j |
11861039088393968035009/167286930552562500 |
j-invariant |
L |
6.3505560220357 |
L(r)(E,1)/r! |
Ω |
0.32321779911072 |
Real period |
R |
3.2746525921057 |
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 |
56610h2 94350n2 |
Quadratic twists by: -3 5 |