Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10710f |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7.4134027538832E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,387900,1306585336] |
[a1,a2,a3,a4,a6] |
j |
8854313460877886399/1016927675429790600 |
j-invariant |
L |
0.98359603433953 |
L(r)(E,1)/r! |
Ω |
0.12294950429244 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680el5 3570t6 53550eb5 74970by5 |
Quadratic twists by: -4 -3 5 -7 |