Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400dq |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-6570720000 = -1 · 28 · 35 · 54 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -6 13+ 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108,3888] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:18:1] [18:90:1] |
Generators of the group modulo torsion |
j |
-5200/243 |
j-invariant |
L |
13.183863381883 |
L(r)(E,1)/r! |
Ω |
1.1075732754939 |
Real period |
R |
0.19838963363403 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000757 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101400d1 101400bs1 |
Quadratic twists by: 5 13 |