Atkin-Lehner |
2- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3136w |
Isogeny class |
Conductor |
3136 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
289254654976 = 210 · 710 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 3 -6 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3201,63671] |
[a1,a2,a3,a4,a6] |
Generators |
[10:181:1] |
Generators of the group modulo torsion |
j |
12544 |
j-invariant |
L |
3.6957708320731 |
L(r)(E,1)/r! |
Ω |
0.95174905912739 |
Real period |
R |
3.8831357873488 |
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 |
3136g1 784d1 28224fl1 78400hx1 |
Quadratic twists by: -4 8 -3 5 |