Atkin-Lehner |
2+ 3- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778h |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-4266153886176 = -1 · 25 · 39 · 75 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -5 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10494,-422924] |
[a1,a2,a3,a4,a6] |
Generators |
[131:596:1] |
Generators of the group modulo torsion |
j |
-175324513418209/5852062944 |
j-invariant |
L |
4.271520761707 |
L(r)(E,1)/r! |
Ω |
0.23538587787948 |
Real period |
R |
1.8146886296562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16926ba1 |
Quadratic twists by: -3 |