Atkin-Lehner |
2+ 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
40150f |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
38865200 = 24 · 52 · 113 · 73 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 11- 1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1645,25005] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-27:1] |
Generators of the group modulo torsion |
j |
19710328332865/1554608 |
j-invariant |
L |
6.8043163289648 |
L(r)(E,1)/r! |
Ω |
1.9512202812201 |
Real period |
R |
0.58120179069945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40150bl1 |
Quadratic twists by: 5 |