Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
108900dj |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
-3486963516300000000 = -1 · 28 · 39 · 58 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- -5 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363000,-123117500] |
[a1,a2,a3,a4,a6] |
Generators |
[12056:1322046:1] |
Generators of the group modulo torsion |
j |
-40960/27 |
j-invariant |
L |
5.6757505265969 |
L(r)(E,1)/r! |
Ω |
0.094461275794073 |
Real period |
R |
5.0071228275856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36300cg1 108900bv1 900f1 |
Quadratic twists by: -3 5 -11 |