Atkin-Lehner |
3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48165h |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-773289075 = -1 · 3 · 52 · 134 · 192 |
Discriminant |
Eigenvalues |
0 3+ 5- -3 4 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-225,-1792] |
[a1,a2,a3,a4,a6] |
Generators |
[74:617:1] [202:711:8] |
Generators of the group modulo torsion |
j |
-44302336/27075 |
j-invariant |
L |
7.0542616288667 |
L(r)(E,1)/r! |
Ω |
0.59943206246902 |
Real period |
R |
0.98068684100338 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48165d1 |
Quadratic twists by: 13 |