Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9900g |
Isogeny class |
Conductor |
9900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
433026000 = 24 · 39 · 53 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-540,4725] |
[a1,a2,a3,a4,a6] |
j |
442368/11 |
j-invariant |
L |
1.6706932583207 |
L(r)(E,1)/r! |
Ω |
1.6706932583207 |
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 |
39600ck1 9900d1 9900f1 108900q1 |
Quadratic twists by: -4 -3 5 -11 |