Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17850r |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-12091161600000000 = -1 · 216 · 34 · 58 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,56724,-969302] |
[a1,a2,a3,a4,a6] |
Generators |
[32:921:1] |
Generators of the group modulo torsion |
j |
1291859362462031/773834342400 |
j-invariant |
L |
4.2568631391899 |
L(r)(E,1)/r! |
Ω |
0.23383898730005 |
Real period |
R |
2.2755311188376 |
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 |
53550di1 3570s1 124950i1 |
Quadratic twists by: -3 5 -7 |