Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
125400cy |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-36115200 = -1 · 28 · 33 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-153,-837] |
[a1,a2,a3,a4,a6] |
Generators |
[17:42:1] |
Generators of the group modulo torsion |
j |
-62295040/5643 |
j-invariant |
L |
10.1615711698 |
L(r)(E,1)/r! |
Ω |
0.67487716576417 |
Real period |
R |
2.5094865835974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125400ba1 |
Quadratic twists by: 5 |