Atkin-Lehner |
2+ 7+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
57904c |
Isogeny class |
Conductor |
57904 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1848000 |
Modular degree for the optimal curve |
Δ |
-575542172737968128 = -1 · 211 · 75 · 115 · 473 |
Discriminant |
Eigenvalues |
2+ 3 -2 7+ 11- 2 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1560331,751080794] |
[a1,a2,a3,a4,a6] |
j |
-205136986189414213314/281026451532211 |
j-invariant |
L |
2.9024861591212 |
L(r)(E,1)/r! |
Ω |
0.29024861628862 |
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 |
28952f1 |
Quadratic twists by: -4 |