Atkin-Lehner |
2- 3+ 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590bg |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-4236458203125000 = -1 · 23 · 39 · 511 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 3 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10397,3160621] |
[a1,a2,a3,a4,a6] |
Generators |
[661:16544:1] |
Generators of the group modulo torsion |
j |
-6314186284587/215234375000 |
j-invariant |
L |
9.944863025127 |
L(r)(E,1)/r! |
Ω |
0.36499156001114 |
Real period |
R |
0.41283075915499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49590e1 |
Quadratic twists by: -3 |