Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
17850cc |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
1600 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-1687142123100000000 = -1 · 28 · 310 · 58 · 75 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13188,62494992] |
[a1,a2,a3,a4,a6] |
Generators |
[42:7854:1] |
Generators of the group modulo torsion |
j |
-16234636151161/107977095878400 |
j-invariant |
L |
9.4372851217669 |
L(r)(E,1)/r! |
Ω |
0.21297650755255 |
Real period |
R |
0.11077847540812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550bm1 3570d1 124950eu1 |
Quadratic twists by: -3 5 -7 |