Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240gv |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
1.414967346576E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14606865,20716074225] |
[a1,a2,a3,a4,a6] |
Generators |
[605:110000:1] |
Generators of the group modulo torsion |
j |
21036566079677026767184/863627530869140625 |
j-invariant |
L |
7.0148653990141 |
L(r)(E,1)/r! |
Ω |
0.12407278204228 |
Real period |
R |
2.8269154878822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021975 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240es2 28560bh2 |
Quadratic twists by: -4 8 |