Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168bu |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-954881851392 = -1 · 214 · 311 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -5 6 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2379,15507] |
[a1,a2,a3,a4,a6] |
j |
90845732864/58281363 |
j-invariant |
L |
6.0436129049124 |
L(r)(E,1)/r! |
Ω |
0.54941935470047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63168bz1 3948a1 |
Quadratic twists by: -4 8 |