Atkin-Lehner |
2+ 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
62622u |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-241632828329060448 = -1 · 25 · 317 · 77 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-89532,25822768] |
[a1,a2,a3,a4,a6] |
j |
-925434168625/2817345888 |
j-invariant |
L |
2.1987678008211 |
L(r)(E,1)/r! |
Ω |
0.27484597612577 |
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 |
20874w1 8946e1 |
Quadratic twists by: -3 -7 |