Atkin-Lehner |
2- 3+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
20502v |
Isogeny class |
Conductor |
20502 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
246024 = 23 · 33 · 17 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 3 -3 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:4:1] |
Generators of the group modulo torsion |
j |
19034163/9112 |
j-invariant |
L |
8.297298091797 |
L(r)(E,1)/r! |
Ω |
2.4767987309196 |
Real period |
R |
0.55833483683435 |
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 |
20502d1 |
Quadratic twists by: -3 |