Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
10710r |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-133117931520 = -1 · 212 · 33 · 5 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1087,10577] |
[a1,a2,a3,a4,a6] |
j |
5265299629773/4930293760 |
j-invariant |
L |
2.7215375100369 |
L(r)(E,1)/r! |
Ω |
0.68038437750922 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
85680cp1 10710e3 53550a1 74970cf1 |
Quadratic twists by: -4 -3 5 -7 |