Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15162bb |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
330 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-110320175314944 = -1 · 211 · 310 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 0 -1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-59031,5538537] |
[a1,a2,a3,a4,a6] |
Generators |
[144:-243:1] |
Generators of the group modulo torsion |
j |
-174562192958689/846526464 |
j-invariant |
L |
8.0857673657198 |
L(r)(E,1)/r! |
Ω |
0.59650462901539 |
Real period |
R |
0.04107650495707 |
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 |
121296ca1 45486g1 106134bv1 15162d1 |
Quadratic twists by: -4 -3 -7 -19 |