Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40950dw |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-95585930177119200 = -1 · 25 · 313 · 52 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13- -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-142385,-25438143] |
[a1,a2,a3,a4,a6] |
j |
-17516447604815665/5244769831392 |
j-invariant |
L |
2.4204344936681 |
L(r)(E,1)/r! |
Ω |
0.12102172468375 |
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 |
13650d1 40950cj1 |
Quadratic twists by: -3 5 |