Atkin-Lehner |
3- 5- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
125775bl |
Isogeny class |
Conductor |
125775 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
1029923689933125 = 313 · 54 · 13 · 433 |
Discriminant |
Eigenvalues |
-2 3- 5- 3 -1 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-25275,-89244] |
[a1,a2,a3,a4,a6] |
Generators |
[890:26122:1] |
Generators of the group modulo torsion |
j |
3919129907200/2260463517 |
j-invariant |
L |
3.98247917396 |
L(r)(E,1)/r! |
Ω |
0.41283694384382 |
Real period |
R |
0.26796153639661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999769687 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41925q1 125775q1 |
Quadratic twists by: -3 5 |