Atkin-Lehner |
2+ 3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
125400z |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-662112000 = -1 · 28 · 32 · 53 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11- 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,212,-428] |
[a1,a2,a3,a4,a6] |
Generators |
[6:32:1] [13:66:1] |
Generators of the group modulo torsion |
j |
32774128/20691 |
j-invariant |
L |
10.48031616743 |
L(r)(E,1)/r! |
Ω |
0.92882505829573 |
Real period |
R |
2.8208530981169 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999944863 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125400dk1 |
Quadratic twists by: 5 |