Atkin-Lehner |
2- 3+ 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124020b |
Isogeny class |
Conductor |
124020 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
-2976480000 = -1 · 28 · 33 · 54 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 3 13- 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,2628] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-50:1] |
Generators of the group modulo torsion |
j |
-1769472/430625 |
j-invariant |
L |
7.7395486891312 |
L(r)(E,1)/r! |
Ω |
1.1618415383762 |
Real period |
R |
0.55512078052241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000141624 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124020d1 |
Quadratic twists by: -3 |