Atkin-Lehner |
3- 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84111b |
Isogeny class |
Conductor |
84111 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-177844012640195157 = -1 · 34 · 2310 · 53 |
Discriminant |
Eigenvalues |
1 3- 2 4 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,97060,-16611541] |
[a1,a2,a3,a4,a6] |
Generators |
[187986649185975:1371120606750722:1250984234375] |
Generators of the group modulo torsion |
j |
683099533943/1201357413 |
j-invariant |
L |
13.874036031821 |
L(r)(E,1)/r! |
Ω |
0.16829167828261 |
Real period |
R |
20.610104086217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000492 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3657a4 |
Quadratic twists by: -23 |