Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800ga |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-459270000000000 = -1 · 210 · 38 · 510 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-277500,56275000] |
[a1,a2,a3,a4,a6] |
Generators |
[2501:122499:1] |
Generators of the group modulo torsion |
j |
-324179200/63 |
j-invariant |
L |
6.8467103160902 |
L(r)(E,1)/r! |
Ω |
0.51160483126935 |
Real period |
R |
6.6914050667984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800ml1 12600cf1 33600de1 100800he1 |
Quadratic twists by: -4 8 -3 5 |