Atkin-Lehner |
2+ 5+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
50150g |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6624 |
Modular degree for the optimal curve |
Δ |
-1604800 = -1 · 26 · 52 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,28,16] |
[a1,a2,a3,a4,a6] |
Generators |
[0:4:1] [14:59:8] |
Generators of the group modulo torsion |
j |
95170815/64192 |
j-invariant |
L |
6.6075867181546 |
L(r)(E,1)/r! |
Ω |
1.6795784328041 |
Real period |
R |
1.9670372603928 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50150bp1 |
Quadratic twists by: 5 |