Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600bu |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
1586304000 = 210 · 36 · 53 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-293,357] |
[a1,a2,a3,a4,a6] |
Generators |
[1:8:1] |
Generators of the group modulo torsion |
j |
21807104/12393 |
j-invariant |
L |
5.5519556785412 |
L(r)(E,1)/r! |
Ω |
1.2913133822193 |
Real period |
R |
2.1497321063222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007891 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600jn1 5100p1 81600ee1 |
Quadratic twists by: -4 8 5 |