Atkin-Lehner |
2+ 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
15150o |
Isogeny class |
Conductor |
15150 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
2981974500 = 22 · 310 · 53 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-821,8588] |
[a1,a2,a3,a4,a6] |
Generators |
[12:16:1] |
Generators of the group modulo torsion |
j |
488745235133/23855796 |
j-invariant |
L |
4.4370251913083 |
L(r)(E,1)/r! |
Ω |
1.408347356746 |
Real period |
R |
0.31505190605534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121200cl1 45450cl1 15150bf1 |
Quadratic twists by: -4 -3 5 |