Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240et |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
4512228050534400 = 216 · 34 · 52 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-165025,25545023] |
[a1,a2,a3,a4,a6] |
Generators |
[-259:7140:1] [-133:6720:1] |
Generators of the group modulo torsion |
j |
7583953079862436/68851136025 |
j-invariant |
L |
14.718085081226 |
L(r)(E,1)/r! |
Ω |
0.43765606067885 |
Real period |
R |
1.4012225582855 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000938 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240gw2 14280bf2 |
Quadratic twists by: -4 8 |