Atkin-Lehner |
2+ 3- 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63336f |
Isogeny class |
Conductor |
63336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
694289232 = 24 · 34 · 72 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -6 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-299,-1638] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:21:1] |
Generators of the group modulo torsion |
j |
185382602752/43393077 |
j-invariant |
L |
5.5114555263613 |
L(r)(E,1)/r! |
Ω |
1.1671882330533 |
Real period |
R |
0.59024921706772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000941 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126672q1 |
Quadratic twists by: -4 |