Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
108900cb |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
-56824590636000000 = -1 · 28 · 36 · 56 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,72600,-8651500] |
[a1,a2,a3,a4,a6] |
j |
8192/11 |
j-invariant |
L |
0.37584965470532 |
L(r)(E,1)/r! |
Ω |
0.18792488559011 |
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 |
12100e1 4356h1 9900q1 |
Quadratic twists by: -3 5 -11 |