Atkin-Lehner |
2- 7+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
20468c |
Isogeny class |
Conductor |
20468 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
32640 |
Modular degree for the optimal curve |
Δ |
-2345444740016 = -1 · 24 · 74 · 175 · 43 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 2 -3 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1377,-75806] |
[a1,a2,a3,a4,a6] |
Generators |
[75:487:1] [97:833:1] |
Generators of the group modulo torsion |
j |
-18060131319808/146590296251 |
j-invariant |
L |
5.2838339133624 |
L(r)(E,1)/r! |
Ω |
0.34496055300371 |
Real period |
R |
0.51057373249918 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81872bh1 |
Quadratic twists by: -4 |