Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54150c |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-2844564480000000 = -1 · 216 · 34 · 57 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-36525,3700125] |
[a1,a2,a3,a4,a6] |
Generators |
[26:1651:1] |
Generators of the group modulo torsion |
j |
-50284268371/26542080 |
j-invariant |
L |
4.4019358269727 |
L(r)(E,1)/r! |
Ω |
0.42101421224921 |
Real period |
R |
2.6138879037999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000155 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830bb1 54150cj1 |
Quadratic twists by: 5 -19 |