Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ku |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
Δ |
2.4087861E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3548945,-1024013457] |
[a1,a2,a3,a4,a6] |
Generators |
[-1094:39375:1] |
Generators of the group modulo torsion |
j |
301718334611613181264/147020635986328125 |
j-invariant |
L |
10.524574156659 |
L(r)(E,1)/r! |
Ω |
0.11553783981382 |
Real period |
R |
0.43377148015967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240br2 28560j2 |
Quadratic twists by: -4 8 |