Atkin-Lehner |
2+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
113600bm |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
278528 |
Modular degree for the optimal curve |
Δ |
36352000000 = 215 · 56 · 71 |
Discriminant |
Eigenvalues |
2+ -3 5+ -1 -2 -7 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9100,334000] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-400:1] [-74:776:1] |
Generators of the group modulo torsion |
j |
162771336/71 |
j-invariant |
L |
6.3655757878594 |
L(r)(E,1)/r! |
Ω |
1.1393461981039 |
Real period |
R |
0.6983803294316 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113600q1 56800i1 4544h1 |
Quadratic twists by: -4 8 5 |