Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9900a |
Isogeny class |
Conductor |
9900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-2529964800 = -1 · 28 · 33 · 52 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11+ 3 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-720,-7820] |
[a1,a2,a3,a4,a6] |
j |
-238878720/14641 |
j-invariant |
L |
1.8367832871608 |
L(r)(E,1)/r! |
Ω |
0.45919582179021 |
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 |
39600cg1 9900b1 9900e1 108900k1 |
Quadratic twists by: -4 -3 5 -11 |