Atkin-Lehner |
2- 5+ 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
85850t |
Isogeny class |
Conductor |
85850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-2813132800 = -1 · 216 · 52 · 17 · 101 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -2 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1703,26461] |
[a1,a2,a3,a4,a6] |
Generators |
[11:90:1] |
Generators of the group modulo torsion |
j |
-21849604782745/112525312 |
j-invariant |
L |
15.722512423117 |
L(r)(E,1)/r! |
Ω |
1.4402574901284 |
Real period |
R |
0.68227871251955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85850l1 |
Quadratic twists by: 5 |