Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ct |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1127587184640 = 216 · 35 · 5 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-103521,12785535] |
[a1,a2,a3,a4,a6] |
Generators |
[171:336:1] [-165:5040:1] |
Generators of the group modulo torsion |
j |
1872118575542884/17205615 |
j-invariant |
L |
12.907852473899 |
L(r)(E,1)/r! |
Ω |
0.78388752946794 |
Real period |
R |
0.82332298906539 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999975568 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240fv2 14280g2 |
Quadratic twists by: -4 8 |