Atkin-Lehner |
2+ 3+ 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120h |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-4589751600 = -1 · 24 · 34 · 52 · 74 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,345,-2250] |
[a1,a2,a3,a4,a6] |
Generators |
[70:600:1] |
Generators of the group modulo torsion |
j |
283009869824/286859475 |
j-invariant |
L |
5.3432039835965 |
L(r)(E,1)/r! |
Ω |
0.74739607684331 |
Real period |
R |
3.5745464483987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991424 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49560bi1 |
Quadratic twists by: -4 |