Atkin-Lehner |
2- 3- 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
128340k |
Isogeny class |
Conductor |
128340 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
160712361568731600 = 24 · 39 · 52 · 23 · 316 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135948,462053] |
[a1,a2,a3,a4,a6] |
Generators |
[11899:1297350:1] |
Generators of the group modulo torsion |
j |
23822902301310976/13778494647525 |
j-invariant |
L |
6.8784614824016 |
L(r)(E,1)/r! |
Ω |
0.27397841072799 |
Real period |
R |
2.0921543716061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998918925 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42780f1 |
Quadratic twists by: -3 |