Atkin-Lehner |
13- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
9503d |
Isogeny class |
Conductor |
9503 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1408 |
Modular degree for the optimal curve |
Δ |
5312177 = 132 · 17 · 432 |
Discriminant |
Eigenvalues |
1 -2 0 -2 0 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-46,-45] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:10:1] [15:44:1] |
Generators of the group modulo torsion |
j |
10431681625/5312177 |
j-invariant |
L |
5.1564090332057 |
L(r)(E,1)/r! |
Ω |
1.9403443433628 |
Real period |
R |
2.6574711085918 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85527h1 123539c1 |
Quadratic twists by: -3 13 |