Atkin-Lehner |
5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
21175c |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
-2.7643712920366E+20 |
Discriminant |
Eigenvalues |
1 2 5+ 7+ 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1622850,-81270625] |
[a1,a2,a3,a4,a6] |
Generators |
[234668185732661693758244598:14105129327104068625340667989:74081316404989279301553] |
Generators of the group modulo torsion |
j |
12829337821/7503125 |
j-invariant |
L |
8.4844841649414 |
L(r)(E,1)/r! |
Ω |
0.1024111932215 |
Real period |
R |
41.423617370569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4235c1 21175n1 |
Quadratic twists by: 5 -11 |