Atkin-Lehner |
2+ 7+ 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
125552a |
Isogeny class |
Conductor |
125552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1102464 |
Modular degree for the optimal curve |
Δ |
-86251688548673536 = -1 · 211 · 711 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ -2 1 7+ -2 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,106840,-4321388] |
[a1,a2,a3,a4,a6] |
Generators |
[276:6802:1] |
Generators of the group modulo torsion |
j |
65855391052716718/42115082299157 |
j-invariant |
L |
3.16555620731 |
L(r)(E,1)/r! |
Ω |
0.19522179705779 |
Real period |
R |
4.0537945478233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999994059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62776b1 |
Quadratic twists by: -4 |