Atkin-Lehner |
2+ 5- 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
85850l |
Isogeny class |
Conductor |
85850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-43955200000000 = -1 · 216 · 58 · 17 · 101 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -2 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-42576,3392798] |
[a1,a2,a3,a4,a6] |
Generators |
[121:67:1] [102:286:1] |
Generators of the group modulo torsion |
j |
-21849604782745/112525312 |
j-invariant |
L |
5.4098294502256 |
L(r)(E,1)/r! |
Ω |
0.64410273060608 |
Real period |
R |
1.3998360802496 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85850t1 |
Quadratic twists by: 5 |