Atkin-Lehner |
2+ 3+ 5+ 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
100890a |
Isogeny class |
Conductor |
100890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
3590480697076800 = 26 · 33 · 52 · 193 · 594 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 2 -4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38565,-421675] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:235:1] |
Generators of the group modulo torsion |
j |
234934225303578507/132980766558400 |
j-invariant |
L |
5.490469359465 |
L(r)(E,1)/r! |
Ω |
0.36743063765608 |
Real period |
R |
3.7357182482157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013266 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100890p1 |
Quadratic twists by: -3 |