Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686ch |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-18045083856618 = -1 · 2 · 33 · 711 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 13+ -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-60369,5687625] |
[a1,a2,a3,a4,a6] |
Generators |
[8756:2793:64] |
Generators of the group modulo torsion |
j |
-1223745654937/907578 |
j-invariant |
L |
6.5950920597383 |
L(r)(E,1)/r! |
Ω |
0.68418935132779 |
Real period |
R |
2.4098197549182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098be1 49686l1 |
Quadratic twists by: -7 13 |