Atkin-Lehner |
2- 3+ 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
64890bs |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
382464 |
Modular degree for the optimal curve |
Δ |
-2582052872197050 = -1 · 2 · 39 · 52 · 74 · 1033 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 1 0 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-74198,8172847] |
[a1,a2,a3,a4,a6] |
j |
-2295110128199643/131181876350 |
j-invariant |
L |
3.6014437355824 |
L(r)(E,1)/r! |
Ω |
0.45018046794909 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64890e1 |
Quadratic twists by: -3 |