Atkin-Lehner |
3- 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
15453f |
Isogeny class |
Conductor |
15453 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9840 |
Modular degree for the optimal curve |
Δ |
12768520293 = 36 · 17 · 1013 |
Discriminant |
Eigenvalues |
0 3- 0 5 -3 -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-840,7632] |
[a1,a2,a3,a4,a6] |
Generators |
[42:215:1] |
Generators of the group modulo torsion |
j |
89915392000/17515117 |
j-invariant |
L |
4.6105891169198 |
L(r)(E,1)/r! |
Ω |
1.1982738257842 |
Real period |
R |
3.8476924203051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1717a1 |
Quadratic twists by: -3 |