Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950cm |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
3028357000101888000 = 218 · 313 · 53 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-803097,-263856339] |
[a1,a2,a3,a4,a6] |
j |
628623316769266853/33232998629376 |
j-invariant |
L |
1.9200605040039 |
L(r)(E,1)/r! |
Ω |
0.16000504199745 |
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 |
13650dg1 40950ff1 |
Quadratic twists by: -3 5 |