Atkin-Lehner |
2+ 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
62622ba |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
626688 |
Modular degree for the optimal curve |
Δ |
-150850185160163328 = -1 · 217 · 39 · 77 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 0 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,77607,-16750931] |
[a1,a2,a3,a4,a6] |
j |
602708730623/1758855168 |
j-invariant |
L |
1.3339138940384 |
L(r)(E,1)/r! |
Ω |
0.16673923660008 |
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 |
20874y1 8946f1 |
Quadratic twists by: -3 -7 |