Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2040b |
Isogeny class |
Conductor |
2040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8736 |
Modular degree for the optimal curve |
Δ |
-726152343750000 = -1 · 24 · 37 · 513 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 3 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7644,-1273275] |
[a1,a2,a3,a4,a6] |
Generators |
[86:113:1] |
Generators of the group modulo torsion |
j |
3086803246205696/45384521484375 |
j-invariant |
L |
2.3818993836208 |
L(r)(E,1)/r! |
Ω |
0.24808116680762 |
Real period |
R |
4.8006453175622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4080m1 16320bk1 6120y1 10200bj1 |
Quadratic twists by: -4 8 -3 5 |