Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840bn |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
154076774400 = 216 · 37 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 -2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2028,-29648] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:72:1] [-19:45:1] |
Generators of the group modulo torsion |
j |
19307236/3225 |
j-invariant |
L |
10.28128855819 |
L(r)(E,1)/r! |
Ω |
0.71950854727656 |
Real period |
R |
1.7861651191706 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999975348 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840ff1 15480h1 41280bm1 |
Quadratic twists by: -4 8 -3 |