Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240jk |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
11827971941990400 = 218 · 32 · 52 · 74 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-95681,10086975] |
[a1,a2,a3,a4,a6] |
Generators |
[-251:4284:1] |
Generators of the group modulo torsion |
j |
369543396484081/45120132225 |
j-invariant |
L |
8.2233886418117 |
L(r)(E,1)/r! |
Ω |
0.38809747244482 |
Real period |
R |
1.324311095226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025787 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240q3 28560dc3 |
Quadratic twists by: -4 8 |