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 |
1.4150347166476E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7033601,-6950333601] |
[a1,a2,a3,a4,a6] |
Generators |
[23787:3644928:1] |
Generators of the group modulo torsion |
j |
146796951366228945601/5397929064360000 |
j-invariant |
L |
5.2179513493286 |
L(r)(E,1)/r! |
Ω |
0.092915124146797 |
Real period |
R |
7.019781990641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240gl3 3570t3 |
Quadratic twists by: -4 8 |