Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
100860d |
Isogeny class |
Conductor |
100860 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2149056 |
Modular degree for the optimal curve |
Δ |
3832764109978080000 = 28 · 3 · 54 · 418 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -5 -1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-666236,187140936] |
[a1,a2,a3,a4,a6] |
Generators |
[47683087:136091900:79507] |
Generators of the group modulo torsion |
j |
15999184/1875 |
j-invariant |
L |
5.9329800315209 |
L(r)(E,1)/r! |
Ω |
0.24004453563397 |
Real period |
R |
12.358081809431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100860k1 |
Quadratic twists by: 41 |