Atkin-Lehner |
2+ 3+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
48450n |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
-136271375409375000 = -1 · 23 · 39 · 58 · 17 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -2 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1559200,748939000] |
[a1,a2,a3,a4,a6] |
Generators |
[711:281:1] |
Generators of the group modulo torsion |
j |
-1073172637431494185/348854721048 |
j-invariant |
L |
4.0727762932422 |
L(r)(E,1)/r! |
Ω |
0.32123359383484 |
Real period |
R |
3.1696375872519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48450bz1 |
Quadratic twists by: 5 |