Atkin-Lehner |
2+ 3- 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
64050r |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-47222784000000 = -1 · 218 · 33 · 56 · 7 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 4 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3874,317648] |
[a1,a2,a3,a4,a6] |
j |
411664745519/3022258176 |
j-invariant |
L |
2.782983299329 |
L(r)(E,1)/r! |
Ω |
0.46383055057675 |
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 |
2562k1 |
Quadratic twists by: 5 |