Atkin-Lehner |
5- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
49855d |
Isogeny class |
Conductor |
49855 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2256088315 = -1 · 5 · 133 · 593 |
Discriminant |
Eigenvalues |
1 -2 5- -1 3 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-303,-3079] |
[a1,a2,a3,a4,a6] |
Generators |
[398:2397:8] |
Generators of the group modulo torsion |
j |
-1393668613/1026895 |
j-invariant |
L |
4.6706487149956 |
L(r)(E,1)/r! |
Ω |
0.55453494428097 |
Real period |
R |
4.2113204615586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49855b1 |
Quadratic twists by: 13 |