Atkin-Lehner |
5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
21175bk |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
102960 |
Modular degree for the optimal curve |
Δ |
586137565234375 = 58 · 7 · 118 |
Discriminant |
Eigenvalues |
-1 1 5- 7- 11- -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-190638,-32032483] |
[a1,a2,a3,a4,a6] |
j |
9150625/7 |
j-invariant |
L |
0.68546987371196 |
L(r)(E,1)/r! |
Ω |
0.22848995790399 |
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 |
21175g1 21175ba1 |
Quadratic twists by: 5 -11 |