Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800ml |
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 |
[46451151732380820233417:1416570728901079969209051:38700801900176382413] |
Generators of the group modulo torsion |
j |
-324179200/63 |
j-invariant |
L |
7.5477155048837 |
L(r)(E,1)/r! |
Ω |
0.10400369016201 |
Real period |
R |
36.285806268635 |
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 |
100800ga1 25200bj1 33600et1 100800px1 |
Quadratic twists by: -4 8 -3 5 |