Atkin-Lehner |
2+ 19+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
125248c |
Isogeny class |
Conductor |
125248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
2003968 = 210 · 19 · 103 |
Discriminant |
Eigenvalues |
2+ -1 2 -3 -2 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77,-227] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:1:1] |
Generators of the group modulo torsion |
j |
49948672/1957 |
j-invariant |
L |
5.0079097841539 |
L(r)(E,1)/r! |
Ω |
1.6138201204533 |
Real period |
R |
1.5515700353747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998030987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125248bn1 15656e1 |
Quadratic twists by: -4 8 |