Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81900f |
Isogeny class |
Conductor |
81900 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-55896750000 = -1 · 24 · 33 · 56 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,900,4625] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-175:1] |
Generators of the group modulo torsion |
j |
11943936/8281 |
j-invariant |
L |
6.3289092691356 |
L(r)(E,1)/r! |
Ω |
0.70576834939736 |
Real period |
R |
0.74728359008529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81900e1 3276a1 |
Quadratic twists by: -3 5 |