Atkin-Lehner |
2- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
40256x |
Isogeny class |
Conductor |
40256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-675383607296 = -1 · 230 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 0 -3 3 5 6 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2764,68496] |
[a1,a2,a3,a4,a6] |
Generators |
[338:6144:1] |
Generators of the group modulo torsion |
j |
-8908363017/2576384 |
j-invariant |
L |
5.8524907571106 |
L(r)(E,1)/r! |
Ω |
0.86030092990455 |
Real period |
R |
1.7007103426465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40256j1 10064i1 |
Quadratic twists by: -4 8 |