Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1456b |
Isogeny class |
Conductor |
1456 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-1141504 = -1 · 28 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 2 -1 7+ -4 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,-51] |
[a1,a2,a3,a4,a6] |
Generators |
[12:39:1] |
Generators of the group modulo torsion |
j |
-1024/4459 |
j-invariant |
L |
3.3047698636544 |
L(r)(E,1)/r! |
Ω |
1.2470494101038 |
Real period |
R |
2.6500713098282 |
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 |
728d1 5824w1 13104m1 36400r1 |
Quadratic twists by: -4 8 -3 5 |