Atkin-Lehner |
3- 7+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
15477c |
Isogeny class |
Conductor |
15477 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
45312 |
Modular degree for the optimal curve |
Δ |
10725561 = 33 · 72 · 112 · 67 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-223450,-40673929] |
[a1,a2,a3,a4,a6] |
Generators |
[-46670265795:23246870056:170953875] |
Generators of the group modulo torsion |
j |
1233848948194057675033/10725561 |
j-invariant |
L |
7.535525781614 |
L(r)(E,1)/r! |
Ω |
0.2195860253423 |
Real period |
R |
11.43898808355 |
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 |
46431b1 108339g1 |
Quadratic twists by: -3 -7 |