Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9100m |
Isogeny class |
Conductor |
9100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
11990786080000 = 28 · 54 · 78 · 13 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -2 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-255333,49745137] |
[a1,a2,a3,a4,a6] |
Generators |
[232:1715:1] |
Generators of the group modulo torsion |
j |
11506050457600000/74942413 |
j-invariant |
L |
3.6025128543155 |
L(r)(E,1)/r! |
Ω |
0.63714874356238 |
Real period |
R |
0.23558816332885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36400ck1 81900bo1 9100a1 63700bl1 |
Quadratic twists by: -4 -3 5 -7 |