Atkin-Lehner |
2+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200bd |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
39106888581250000 = 24 · 58 · 7 · 197 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 1 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2479083,-1501540838] |
[a1,a2,a3,a4,a6] |
j |
269598251793909760/6257102173 |
j-invariant |
L |
2.5266592294487 |
L(r)(E,1)/r! |
Ω |
0.12031710622367 |
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 |
26600be1 53200c1 |
Quadratic twists by: -4 5 |