Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50700k |
Isogeny class |
Conductor |
50700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
151200 |
Modular degree for the optimal curve |
Δ |
-8568300000000 = -1 · 28 · 3 · 58 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56333,-5129463] |
[a1,a2,a3,a4,a6] |
Generators |
[1704840:32904521:3375] |
Generators of the group modulo torsion |
j |
-6922240/3 |
j-invariant |
L |
4.7274808420975 |
L(r)(E,1)/r! |
Ω |
0.15494119693759 |
Real period |
R |
10.17048388999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50700s1 50700j1 |
Quadratic twists by: 5 13 |