Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9900f |
Isogeny class |
Conductor |
9900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
6766031250000 = 24 · 39 · 59 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13500,590625] |
[a1,a2,a3,a4,a6] |
j |
442368/11 |
j-invariant |
L |
2.2414702170934 |
L(r)(E,1)/r! |
Ω |
0.74715673903115 |
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 |
39600cj1 9900c1 9900g1 108900t1 |
Quadratic twists by: -4 -3 5 -11 |