Atkin-Lehner |
2- 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
99264cf |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
-6062492418048 = -1 · 216 · 34 · 11 · 473 |
Discriminant |
Eigenvalues |
2- 3- 0 -5 11- -3 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1727,115775] |
[a1,a2,a3,a4,a6] |
Generators |
[167:2256:1] |
Generators of the group modulo torsion |
j |
8686989500/92506293 |
j-invariant |
L |
5.262536714011 |
L(r)(E,1)/r! |
Ω |
0.55622819499592 |
Real period |
R |
0.19710647959108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001614 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99264a1 24816a1 |
Quadratic twists by: -4 8 |