Atkin-Lehner |
2+ 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17850f |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
599354526093750 = 2 · 38 · 57 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21525,291375] |
[a1,a2,a3,a4,a6] |
j |
70593496254289/38358689670 |
j-invariant |
L |
1.7970841734621 |
L(r)(E,1)/r! |
Ω |
0.44927104336551 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550dn3 3570w4 124950cv3 |
Quadratic twists by: -3 5 -7 |