Atkin-Lehner |
2+ 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85800b |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-7975110000000000 = -1 · 210 · 3 · 510 · 112 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11+ 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,36592,3334812] |
[a1,a2,a3,a4,a6] |
Generators |
[282:6000:1] |
Generators of the group modulo torsion |
j |
338649393884/498444375 |
j-invariant |
L |
3.8523106396504 |
L(r)(E,1)/r! |
Ω |
0.2817581159914 |
Real period |
R |
3.4181008699107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999848197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17160v1 |
Quadratic twists by: 5 |