Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600fb |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
458441856000 = 210 · 36 · 53 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32573,2251683] |
[a1,a2,a3,a4,a6] |
Generators |
[118:-255:1] [-18:1683:1] |
Generators of the group modulo torsion |
j |
29860725364736/3581577 |
j-invariant |
L |
11.467793707143 |
L(r)(E,1)/r! |
Ω |
0.90134489276209 |
Real period |
R |
0.70683226311168 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600hp1 10200n1 81600br1 |
Quadratic twists by: -4 8 5 |