Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600cl |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
819200 |
Modular degree for the optimal curve |
Δ |
-35956224000000000 = -1 · 218 · 35 · 59 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -6 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4833,-9122463] |
[a1,a2,a3,a4,a6] |
Generators |
[467:9500:1] |
Generators of the group modulo torsion |
j |
-24389/70227 |
j-invariant |
L |
2.196396593363 |
L(r)(E,1)/r! |
Ω |
0.16610544717415 |
Real period |
R |
3.3057263228588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999862854 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600jz1 1275g1 81600ep1 |
Quadratic twists by: -4 8 5 |