Atkin-Lehner |
3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47025bn |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
285676875 = 37 · 54 · 11 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5- 1 11+ -1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-230,1122] |
[a1,a2,a3,a4,a6] |
Generators |
[14:15:1] [-6:50:1] |
Generators of the group modulo torsion |
j |
2941225/627 |
j-invariant |
L |
6.3813211908708 |
L(r)(E,1)/r! |
Ω |
1.637996945853 |
Real period |
R |
0.32465064556572 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15675p1 47025t1 |
Quadratic twists by: -3 5 |