Atkin-Lehner |
2- 3- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
99264bz |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-7318536192 = -1 · 219 · 33 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3- 4 2 11+ -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,479,-673] |
[a1,a2,a3,a4,a6] |
Generators |
[53:420:1] |
Generators of the group modulo torsion |
j |
46268279/27918 |
j-invariant |
L |
12.723377013543 |
L(r)(E,1)/r! |
Ω |
0.76919415790384 |
Real period |
R |
2.7568629032795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999822975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99264o1 24816o1 |
Quadratic twists by: -4 8 |