Atkin-Lehner |
7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10829b |
Isogeny class |
Conductor |
10829 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-971090022721 = -1 · 76 · 134 · 172 |
Discriminant |
Eigenvalues |
1 -2 -2 7- -6 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2672,-71445] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1046:1] |
Generators of the group modulo torsion |
j |
-17923019113/8254129 |
j-invariant |
L |
2.160326058463 |
L(r)(E,1)/r! |
Ω |
0.32483027423124 |
Real period |
R |
1.6626575706157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97461x2 221b2 |
Quadratic twists by: -3 -7 |