Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
108900k |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-4481986971052800 = -1 · 28 · 33 · 52 · 1110 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11- -3 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87120,10408420] |
[a1,a2,a3,a4,a6] |
Generators |
[176:726:1] |
Generators of the group modulo torsion |
j |
-238878720/14641 |
j-invariant |
L |
6.8437419496831 |
L(r)(E,1)/r! |
Ω |
0.42941798971241 |
Real period |
R |
1.3281041809627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028452 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108900j1 108900x1 9900a1 |
Quadratic twists by: -3 5 -11 |