Atkin-Lehner |
2+ 3+ 5- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
104550n |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
139392 |
Modular degree for the optimal curve |
Δ |
-742230246750 = -1 · 2 · 3 · 53 · 176 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 0 0 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2055,21675] |
[a1,a2,a3,a4,a6] |
Generators |
[862:9395:8] |
Generators of the group modulo torsion |
j |
7672182486067/5937841974 |
j-invariant |
L |
4.7383985673397 |
L(r)(E,1)/r! |
Ω |
0.57766846829542 |
Real period |
R |
2.0506565646599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104550cq1 |
Quadratic twists by: 5 |