Atkin-Lehner |
2+ 3- 5+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
84870d |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
409600 |
Modular degree for the optimal curve |
Δ |
91072978560000 = 210 · 38 · 54 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -2 0 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45450,3712500] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:2625:1] |
Generators of the group modulo torsion |
j |
14243057298007201/124928640000 |
j-invariant |
L |
3.0286387887743 |
L(r)(E,1)/r! |
Ω |
0.60593265952413 |
Real period |
R |
1.2495773007388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28290z1 |
Quadratic twists by: -3 |