Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50700o |
Isogeny class |
Conductor |
50700 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-508262987700000000 = -1 · 28 · 34 · 58 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -1 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-288708,68955912] |
[a1,a2,a3,a4,a6] |
Generators |
[1842:76050:1] |
Generators of the group modulo torsion |
j |
-5513680/1053 |
j-invariant |
L |
3.9844304867104 |
L(r)(E,1)/r! |
Ω |
0.28196629837374 |
Real period |
R |
0.19626215130834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50700bc1 3900f1 |
Quadratic twists by: 5 13 |