Atkin-Lehner |
2- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3136s |
Isogeny class |
Conductor |
3136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-13492928512 = -1 · 214 · 77 |
Discriminant |
Eigenvalues |
2- 0 2 7- -4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,196,5488] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:64:1] |
Generators of the group modulo torsion |
j |
432/7 |
j-invariant |
L |
3.6145520979503 |
L(r)(E,1)/r! |
Ω |
0.93493147424957 |
Real period |
R |
1.9330572333398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3136e1 784c1 28224gd1 78400gz1 |
Quadratic twists by: -4 8 -3 5 |