Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
108900cj |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-31123310724000000 = -1 · 28 · 312 · 56 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-117975,17756750] |
[a1,a2,a3,a4,a6] |
j |
-4253392/729 |
j-invariant |
L |
2.141506536945 |
L(r)(E,1)/r! |
Ω |
0.35691775244889 |
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 |
36300p1 4356i1 108900cc1 |
Quadratic twists by: -3 5 -11 |