Atkin-Lehner |
3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48165u |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
203497125 = 3 · 53 · 134 · 19 |
Discriminant |
Eigenvalues |
0 3- 5- 0 2 13+ 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-225,1031] |
[a1,a2,a3,a4,a6] |
Generators |
[5:7:1] |
Generators of the group modulo torsion |
j |
44302336/7125 |
j-invariant |
L |
7.0328047559048 |
L(r)(E,1)/r! |
Ω |
1.7051330640897 |
Real period |
R |
1.3748300946905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48165o1 |
Quadratic twists by: 13 |