Atkin-Lehner |
2+ 5+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
40850d |
Isogeny class |
Conductor |
40850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29286400 |
Modular degree for the optimal curve |
Δ |
-2.7569982553959E+25 |
Discriminant |
Eigenvalues |
2+ 3 5+ -3 6 3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,75234158,-27077632684] |
[a1,a2,a3,a4,a6] |
j |
3014039068081427225638287/1764478883453394378752 |
j-invariant |
L |
3.9220236344359 |
L(r)(E,1)/r! |
Ω |
0.039220236343117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1634c1 |
Quadratic twists by: 5 |