Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ky |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
91372618023321600 = 214 · 38 · 52 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2519025,1537943823] |
[a1,a2,a3,a4,a6] |
Generators |
[1023:-5712:1] |
Generators of the group modulo torsion |
j |
107895014626180033744/5576942018025 |
j-invariant |
L |
8.8546065152636 |
L(r)(E,1)/r! |
Ω |
0.32000210489114 |
Real period |
R |
0.57646798557473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015272 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240bt2 28560l2 |
Quadratic twists by: -4 8 |