Atkin-Lehner |
5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
21175bg |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-1213669572055758125 = -1 · 54 · 77 · 119 |
Discriminant |
Eigenvalues |
-1 -3 5- 7- 11+ -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,264120,-8999328] |
[a1,a2,a3,a4,a6] |
Generators |
[938:32140:1] |
Generators of the group modulo torsion |
j |
1382658525/823543 |
j-invariant |
L |
1.667690207286 |
L(r)(E,1)/r! |
Ω |
0.1595924405247 |
Real period |
R |
0.74640583664376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21175d1 21175x1 |
Quadratic twists by: 5 -11 |