Atkin-Lehner |
3- 7+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
49959c |
Isogeny class |
Conductor |
49959 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
171360 |
Modular degree for the optimal curve |
Δ |
469995757844067 = 36 · 75 · 132 · 613 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ -3 13+ -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20855,-500516] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:829:1] |
Generators of the group modulo torsion |
j |
1375964544515625/644712973723 |
j-invariant |
L |
2.5389098917426 |
L(r)(E,1)/r! |
Ω |
0.41575402311159 |
Real period |
R |
1.0177932746152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5551a1 |
Quadratic twists by: -3 |