Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
108900cx |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-1058508000000 = -1 · 28 · 37 · 56 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 11- -2 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46200,3822500] |
[a1,a2,a3,a4,a6] |
Generators |
[100:450:1] [-200:2250:1] |
Generators of the group modulo torsion |
j |
-30908416/3 |
j-invariant |
L |
9.9406311673323 |
L(r)(E,1)/r! |
Ω |
0.83690348611143 |
Real period |
R |
0.49491126776024 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36300t1 4356k1 108900cv1 |
Quadratic twists by: -3 5 -11 |