Atkin-Lehner |
5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
21175v |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-586137565234375 = -1 · 58 · 7 · 118 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- 11- 4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-63,-1164844] |
[a1,a2,a3,a4,a6] |
Generators |
[2193570:119251963:729] |
Generators of the group modulo torsion |
j |
-1/21175 |
j-invariant |
L |
5.1187776668972 |
L(r)(E,1)/r! |
Ω |
0.23662932958544 |
Real period |
R |
10.816025375774 |
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 |
4235e1 1925c1 |
Quadratic twists by: 5 -11 |