Atkin-Lehner |
2- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129200dg |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-646000 = -1 · 24 · 53 · 17 · 19 |
Discriminant |
Eigenvalues |
2- -2 5- 1 0 -5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18,43] |
[a1,a2,a3,a4,a6] |
Generators |
[3:5:1] |
Generators of the group modulo torsion |
j |
-340736/323 |
j-invariant |
L |
4.4947449216035 |
L(r)(E,1)/r! |
Ω |
2.627226888475 |
Real period |
R |
0.85541621884312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998657075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32300s1 129200cv1 |
Quadratic twists by: -4 5 |