Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400x |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
16031250000 = 24 · 33 · 59 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -2 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2250,-40625] |
[a1,a2,a3,a4,a6] |
Generators |
[294555:14295716:125] |
Generators of the group modulo torsion |
j |
1492992/19 |
j-invariant |
L |
7.6277416647413 |
L(r)(E,1)/r! |
Ω |
0.69372643256376 |
Real period |
R |
10.995316462938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34200m1 68400w1 68400z1 |
Quadratic twists by: -4 -3 5 |