Atkin-Lehner |
2+ 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
10710a |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-628642384183296000 = -1 · 228 · 33 · 53 · 74 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-259770,63721396] |
[a1,a2,a3,a4,a6] |
j |
-71800566610391670267/23283051266048000 |
j-invariant |
L |
1.0908806086993 |
L(r)(E,1)/r! |
Ω |
0.27272015217482 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680cw1 10710s1 53550cr1 74970h1 |
Quadratic twists by: -4 -3 5 -7 |