Atkin-Lehner |
2- 7+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
50008d |
Isogeny class |
Conductor |
50008 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-36105776 = -1 · 24 · 7 · 193 · 47 |
Discriminant |
Eigenvalues |
2- -3 -3 7+ -4 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34,-299] |
[a1,a2,a3,a4,a6] |
Generators |
[10:19:1] |
Generators of the group modulo torsion |
j |
-271669248/2256611 |
j-invariant |
L |
2.0256015597963 |
L(r)(E,1)/r! |
Ω |
0.8691841981698 |
Real period |
R |
0.38841048960306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100016g1 |
Quadratic twists by: -4 |