Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100860k |
Isogeny class |
Conductor |
100860 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52416 |
Modular degree for the optimal curve |
Δ |
806880000 = 28 · 3 · 54 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 5 1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-396,2580] |
[a1,a2,a3,a4,a6] |
Generators |
[47:300:1] |
Generators of the group modulo torsion |
j |
15999184/1875 |
j-invariant |
L |
7.0855892750481 |
L(r)(E,1)/r! |
Ω |
1.5370349841812 |
Real period |
R |
2.304953814172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999667491 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100860d1 |
Quadratic twists by: 41 |