Atkin-Lehner |
3+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
50127h |
Isogeny class |
Conductor |
50127 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8686080 |
Modular degree for the optimal curve |
Δ |
-1.878026948275E+24 |
Discriminant |
Eigenvalues |
2 3+ -1 7- 11- -3 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-18803276,73028149445] |
[a1,a2,a3,a4,a6] |
j |
-6249367399308357062656/15962965671404085411 |
j-invariant |
L |
0.88370623198645 |
L(r)(E,1)/r! |
Ω |
0.073642185971395 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7161h1 |
Quadratic twists by: -7 |