Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41070c |
Isogeny class |
Conductor |
41070 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
110880 |
Modular degree for the optimal curve |
Δ |
-4663512299520 = -1 · 211 · 35 · 5 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -5 5 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28,103888] |
[a1,a2,a3,a4,a6] |
Generators |
[147:1744:1] |
Generators of the group modulo torsion |
j |
-1369/2488320 |
j-invariant |
L |
3.1897835750426 |
L(r)(E,1)/r! |
Ω |
0.61432377778093 |
Real period |
R |
5.1923491982821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999879 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210dl1 41070x1 |
Quadratic twists by: -3 37 |