Atkin-Lehner |
2- 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
53100a |
Isogeny class |
Conductor |
53100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-9072632812500000000 = -1 · 28 · 39 · 515 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -2 -1 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-257175,153366750] |
[a1,a2,a3,a4,a6] |
j |
-23892339312/115234375 |
j-invariant |
L |
0.80239634958839 |
L(r)(E,1)/r! |
Ω |
0.20059908762629 |
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 |
53100d1 10620d1 |
Quadratic twists by: -3 5 |