Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
50460g |
Isogeny class |
Conductor |
50460 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
19800 |
Modular degree for the optimal curve |
Δ |
-126150000 = -1 · 24 · 3 · 55 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 2 -4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10,537] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-25:1] |
Generators of the group modulo torsion |
j |
7424/9375 |
j-invariant |
L |
4.650847724451 |
L(r)(E,1)/r! |
Ω |
1.451917227367 |
Real period |
R |
0.21354971834337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50460r1 |
Quadratic twists by: 29 |