Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240hw |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
Δ |
553199527641600000 = 212 · 32 · 55 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-216105,-14577975] |
[a1,a2,a3,a4,a6] |
Generators |
[960:-25725:1] |
Generators of the group modulo torsion |
j |
272496055143618496/135058478428125 |
j-invariant |
L |
5.9958190638827 |
L(r)(E,1)/r! |
Ω |
0.233007522621 |
Real period |
R |
0.51464596620942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999972006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240kh2 57120v1 |
Quadratic twists by: -4 8 |