Atkin-Lehner |
2- 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710ct |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
69238620 = 22 · 32 · 5 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1185,-15795] |
[a1,a2,a3,a4,a6] |
Generators |
[1242:43137:1] |
Generators of the group modulo torsion |
j |
138268615211/52020 |
j-invariant |
L |
11.811988671751 |
L(r)(E,1)/r! |
Ω |
0.8137253844024 |
Real period |
R |
3.6289849432316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61710bh2 |
Quadratic twists by: -11 |