Atkin-Lehner |
3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
15609h |
Isogeny class |
Conductor |
15609 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-1241024763 = -1 · 3 · 112 · 434 |
Discriminant |
Eigenvalues |
-2 3+ 0 3 11- 2 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,202,1220] |
[a1,a2,a3,a4,a6] |
Generators |
[19:107:1] |
Generators of the group modulo torsion |
j |
7496192000/10256403 |
j-invariant |
L |
2.3980260688435 |
L(r)(E,1)/r! |
Ω |
1.0353652257142 |
Real period |
R |
0.57902902504511 |
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 |
46827s1 15609d1 |
Quadratic twists by: -3 -11 |