Atkin-Lehner |
2- 3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
57420d |
Isogeny class |
Conductor |
57420 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
-28046959776000 = -1 · 28 · 33 · 53 · 113 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7570887,8018040766] |
[a1,a2,a3,a4,a6] |
j |
-6943209587313949665648/4057719875 |
j-invariant |
L |
2.4481768495433 |
L(r)(E,1)/r! |
Ω |
0.40802947513182 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
57420a2 |
Quadratic twists by: -3 |