Atkin-Lehner |
2- 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
40050bh |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
739035140625000000 = 26 · 312 · 512 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-379130,79861497] |
[a1,a2,a3,a4,a6] |
j |
529102162437841/64881000000 |
j-invariant |
L |
3.299250248479 |
L(r)(E,1)/r! |
Ω |
0.27493752071821 |
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 |
13350a1 8010d1 |
Quadratic twists by: -3 5 |