Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9100b |
Isogeny class |
Conductor |
9100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
269132500000000 = 28 · 510 · 72 · 133 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18333,544537] |
[a1,a2,a3,a4,a6] |
j |
272588800/107653 |
j-invariant |
L |
1.0018565516876 |
L(r)(E,1)/r! |
Ω |
0.50092827584379 |
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 |
36400bp1 81900j1 9100l1 63700t1 |
Quadratic twists by: -4 -3 5 -7 |