Atkin-Lehner |
2- 3- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
21252i |
Isogeny class |
Conductor |
21252 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
81120 |
Modular degree for the optimal curve |
Δ |
-2494794921285744 = -1 · 24 · 313 · 75 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11- 3 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5294,-2396779] |
[a1,a2,a3,a4,a6] |
Generators |
[317:5589:1] |
Generators of the group modulo torsion |
j |
1025353226967296/155924682580359 |
j-invariant |
L |
5.9790025788344 |
L(r)(E,1)/r! |
Ω |
0.21620500988779 |
Real period |
R |
1.0636277011658 |
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 |
85008bq1 63756m1 |
Quadratic twists by: -4 -3 |