Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240dk |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8.6019835173179E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16167681,25012499295] |
[a1,a2,a3,a4,a6] |
Generators |
[5099:274176:1] |
Generators of the group modulo torsion |
j |
1782900110862842086081/328139630024640 |
j-invariant |
L |
5.2179513493286 |
L(r)(E,1)/r! |
Ω |
0.18583024829359 |
Real period |
R |
1.7549454976602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240gl4 3570t4 |
Quadratic twists by: -4 8 |