Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600s |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
110160000000 = 210 · 34 · 57 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3133,66637] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:100:1] [1:252:1] |
Generators of the group modulo torsion |
j |
212629504/6885 |
j-invariant |
L |
9.5448664342563 |
L(r)(E,1)/r! |
Ω |
1.0494934402071 |
Real period |
R |
4.5473683152481 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000146 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600ik1 10200bi1 16320bf1 |
Quadratic twists by: -4 8 5 |