Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240dk |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2.193820360704E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-111525121,-453359005345] |
[a1,a2,a3,a4,a6] |
Generators |
[-6101:576:1] |
Generators of the group modulo torsion |
j |
585196747116290735872321/836876053125000 |
j-invariant |
L |
5.2179513493286 |
L(r)(E,1)/r! |
Ω |
0.046457562073398 |
Real period |
R |
3.5098909953205 |
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 |
114240gl6 3570t5 |
Quadratic twists by: -4 8 |