Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61152bd |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-284512575791808 = -1 · 26 · 33 · 78 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -6 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17558,-1202676] |
[a1,a2,a3,a4,a6] |
Generators |
[271:3724:1] |
Generators of the group modulo torsion |
j |
-79507000000/37786203 |
j-invariant |
L |
3.1781525383772 |
L(r)(E,1)/r! |
Ω |
0.20275861457915 |
Real period |
R |
3.9186405776527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61152q1 122304ea2 8736y1 |
Quadratic twists by: -4 8 -7 |