Atkin-Lehner |
2- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
26800y |
Isogeny class |
Conductor |
26800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30960 |
Modular degree for the optimal curve |
Δ |
-167500000000 = -1 · 28 · 510 · 67 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 0 6 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5000,137500] |
[a1,a2,a3,a4,a6] |
Generators |
[54:158:1] |
Generators of the group modulo torsion |
j |
-5529600/67 |
j-invariant |
L |
6.29577751885 |
L(r)(E,1)/r! |
Ω |
1.0230318079794 |
Real period |
R |
3.077019438567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6700a1 107200bt1 26800bh1 |
Quadratic twists by: -4 8 5 |