Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240dh |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
39968006400000000 = 214 · 32 · 58 · 74 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8330001,9250924815] |
[a1,a2,a3,a4,a6] |
Generators |
[57297:909568:27] |
Generators of the group modulo torsion |
j |
3901566248250599880016/2439453515625 |
j-invariant |
L |
7.4423662249775 |
L(r)(E,1)/r! |
Ω |
0.2997424113162 |
Real period |
R |
6.2073016416907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999698861 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240gh2 14280bk2 |
Quadratic twists by: -4 8 |