Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200gf |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26542080 |
Modular degree for the optimal curve |
Δ |
4.8777084587213E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-127374408,439555171188] |
[a1,a2,a3,a4,a6] |
Generators |
[2921596920647356383725567:-50055542782843788714999150:324130717651090496329] |
Generators of the group modulo torsion |
j |
3571003510905229697089/762141946675200000 |
j-invariant |
L |
9.0865281497482 |
L(r)(E,1)/r! |
Ω |
0.060015178692042 |
Real period |
R |
37.850958385287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027641 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650c1 21840x1 |
Quadratic twists by: -4 5 |