Atkin-Lehner |
2+ 5+ 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
85850j |
Isogeny class |
Conductor |
85850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-198485200 = -1 · 24 · 52 · 173 · 101 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 0 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47,701] |
[a1,a2,a3,a4,a6] |
Generators |
[10:29:1] [2030:31263:8] |
Generators of the group modulo torsion |
j |
-464798385/7939408 |
j-invariant |
L |
8.3094056804397 |
L(r)(E,1)/r! |
Ω |
1.5073764476626 |
Real period |
R |
0.91874922743004 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85850x1 |
Quadratic twists by: 5 |