Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560cd |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
2033051950800 = 24 · 34 · 52 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17801,-917526] |
[a1,a2,a3,a4,a6] |
Generators |
[1954:86190:1] |
Generators of the group modulo torsion |
j |
8077950976/26325 |
j-invariant |
L |
5.659983634611 |
L(r)(E,1)/r! |
Ω |
0.41340099335473 |
Real period |
R |
3.4228169051313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10140b1 121680ex1 3120w1 |
Quadratic twists by: -4 -3 13 |