Atkin-Lehner |
2+ 3+ 5+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
104550a |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
1505520000000 = 210 · 33 · 57 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 1 -1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3275,40125] |
[a1,a2,a3,a4,a6] |
Generators |
[70:365:1] [-5:240:1] |
Generators of the group modulo torsion |
j |
248739515569/96353280 |
j-invariant |
L |
7.3043244927771 |
L(r)(E,1)/r! |
Ω |
0.77301632026279 |
Real period |
R |
2.3622801683937 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20910n1 |
Quadratic twists by: 5 |