Atkin-Lehner |
2- 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100860f |
Isogeny class |
Conductor |
100860 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
1262007694748880 = 24 · 34 · 5 · 417 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 2 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-109825,13940782] |
[a1,a2,a3,a4,a6] |
Generators |
[1670420:2100231:8000] |
Generators of the group modulo torsion |
j |
1927561216/16605 |
j-invariant |
L |
4.7587903544396 |
L(r)(E,1)/r! |
Ω |
0.48674898494685 |
Real period |
R |
9.776682613104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034386 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2460c1 |
Quadratic twists by: 41 |