Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
128700bp |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
73181394000 = 24 · 39 · 53 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4260,106225] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-135:1] |
Generators of the group modulo torsion |
j |
5864013824/50193 |
j-invariant |
L |
6.1101381695674 |
L(r)(E,1)/r! |
Ω |
1.0974052722282 |
Real period |
R |
0.46398372226007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999956028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42900bs1 128700bf1 |
Quadratic twists by: -3 5 |