Atkin-Lehner |
2+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200c |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
2502840869200 = 24 · 52 · 7 · 197 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 1 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-99163,-12051992] |
[a1,a2,a3,a4,a6] |
j |
269598251793909760/6257102173 |
j-invariant |
L |
1.8832605985412 |
L(r)(E,1)/r! |
Ω |
0.2690372283722 |
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 |
26600e1 53200bd1 |
Quadratic twists by: -4 5 |