Atkin-Lehner |
3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
103155h |
Isogeny class |
Conductor |
103155 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
214045184427530625 = 34 · 54 · 134 · 236 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-275091,50855400] |
[a1,a2,a3,a4,a6] |
Generators |
[-301:10466:1] [-1626:80163:8] |
Generators of the group modulo torsion |
j |
15551989015681/1445900625 |
j-invariant |
L |
8.3898515108702 |
L(r)(E,1)/r! |
Ω |
0.30737450026799 |
Real period |
R |
3.4119012407512 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000183 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
195a3 |
Quadratic twists by: -23 |