Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9100h |
Isogeny class |
Conductor |
9100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
199763200 = 28 · 52 · 74 · 13 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -6 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-160,-380] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:14:1] |
Generators of the group modulo torsion |
j |
70778880/31213 |
j-invariant |
L |
2.2910583958428 |
L(r)(E,1)/r! |
Ω |
1.398067924819 |
Real period |
R |
0.13656098505487 |
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 |
36400bh1 81900z1 9100j1 63700bd1 |
Quadratic twists by: -4 -3 5 -7 |