Atkin-Lehner |
2+ 5- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
40150o |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
349200 |
Modular degree for the optimal curve |
Δ |
-88661237500000 = -1 · 25 · 58 · 113 · 732 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 11- 1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-701117,-225786459] |
[a1,a2,a3,a4,a6] |
j |
-97574316694479945/226972768 |
j-invariant |
L |
0.49496341040102 |
L(r)(E,1)/r! |
Ω |
0.082493901723868 |
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 |
40150w1 |
Quadratic twists by: 5 |