Atkin-Lehner |
2+ 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168x |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-61890490368 = -1 · 212 · 38 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1449,-23895] |
[a1,a2,a3,a4,a6] |
Generators |
[73:504:1] |
Generators of the group modulo torsion |
j |
-82199392192/15109983 |
j-invariant |
L |
3.8985096093165 |
L(r)(E,1)/r! |
Ω |
0.38305744914134 |
Real period |
R |
2.5443374213379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995547 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168z1 31584n1 |
Quadratic twists by: -4 8 |