Atkin-Lehner |
2+ 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
98368a |
Isogeny class |
Conductor |
98368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1495621697536 = -1 · 225 · 292 · 53 |
Discriminant |
Eigenvalues |
2+ 0 1 0 -3 0 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2252,71792] |
[a1,a2,a3,a4,a6] |
Generators |
[46:256:1] |
Generators of the group modulo torsion |
j |
-4818245769/5705344 |
j-invariant |
L |
5.6024719261955 |
L(r)(E,1)/r! |
Ω |
0.76898731904252 |
Real period |
R |
0.91068990975639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999798917 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98368e1 3074a1 |
Quadratic twists by: -4 8 |