Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168bl |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-990247845888 = -1 · 216 · 38 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -6 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2207,-25729] |
[a1,a2,a3,a4,a6] |
Generators |
[29:252:1] |
Generators of the group modulo torsion |
j |
18132345500/15109983 |
j-invariant |
L |
6.5586894661089 |
L(r)(E,1)/r! |
Ω |
0.4859648175791 |
Real period |
R |
0.84351392689764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000526 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168cc1 7896g1 |
Quadratic twists by: -4 8 |