Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
108900a |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1824768 |
Modular degree for the optimal curve |
Δ |
-5274032318403750000 = -1 · 24 · 39 · 57 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 6 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-898425,345893625] |
[a1,a2,a3,a4,a6] |
Generators |
[345:8775:1] |
Generators of the group modulo torsion |
j |
-76032/5 |
j-invariant |
L |
8.0660539013984 |
L(r)(E,1)/r! |
Ω |
0.23791386233209 |
Real period |
R |
2.825271089659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020439 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108900b1 21780d1 108900d1 |
Quadratic twists by: -3 5 -11 |