Atkin-Lehner |
2+ 3- 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570j |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-54830730438000 = -1 · 24 · 36 · 53 · 11 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21930,-1294300] |
[a1,a2,a3,a4,a6] |
j |
-1600011920811681/75213622000 |
j-invariant |
L |
0.78249026183365 |
L(r)(E,1)/r! |
Ω |
0.19562256544559 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4730g1 |
Quadratic twists by: -3 |