Atkin-Lehner |
2- 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
42826m |
Isogeny class |
Conductor |
42826 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-94342556155904 = -1 · 218 · 77 · 19 · 23 |
Discriminant |
Eigenvalues |
2- -1 3 7- 0 -5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-32194,-2285361] |
[a1,a2,a3,a4,a6] |
Generators |
[377:-6461:1] |
Generators of the group modulo torsion |
j |
-31366144171153/801898496 |
j-invariant |
L |
8.5042375507797 |
L(r)(E,1)/r! |
Ω |
0.17793857013935 |
Real period |
R |
0.66379318623853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6118l1 |
Quadratic twists by: -7 |