Atkin-Lehner |
2- 5- 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
85850x |
Isogeny class |
Conductor |
85850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-3101331250000 = -1 · 24 · 58 · 173 · 101 |
Discriminant |
Eigenvalues |
2- 0 5- -2 0 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1180,86447] |
[a1,a2,a3,a4,a6] |
Generators |
[5:281:1] |
Generators of the group modulo torsion |
j |
-464798385/7939408 |
j-invariant |
L |
9.5554320386431 |
L(r)(E,1)/r! |
Ω |
0.67411924093115 |
Real period |
R |
3.5436727858871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004731 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85850j1 |
Quadratic twists by: 5 |