Atkin-Lehner |
3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21315w |
Isogeny class |
Conductor |
21315 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
1791206025 = 3 · 52 · 77 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 -4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-540,-4425] |
[a1,a2,a3,a4,a6] |
Generators |
[71:527:1] |
Generators of the group modulo torsion |
j |
148035889/15225 |
j-invariant |
L |
4.4202935017566 |
L(r)(E,1)/r! |
Ω |
0.9969438286495 |
Real period |
R |
4.433844089034 |
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 |
63945j1 106575n1 3045c1 |
Quadratic twists by: -3 5 -7 |