Atkin-Lehner |
2+ 3- 5- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
93330p |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
334268581410 = 2 · 38 · 5 · 174 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-263574,52149658] |
[a1,a2,a3,a4,a6] |
Generators |
[353:1556:1] |
Generators of the group modulo torsion |
j |
2777824558086235489/458530290 |
j-invariant |
L |
5.6003626066301 |
L(r)(E,1)/r! |
Ω |
0.75535701757741 |
Real period |
R |
3.7070964257836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011654 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31110o4 |
Quadratic twists by: -3 |