Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ca |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
260116675854336000 = 218 · 34 · 53 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-754145,-250626975] |
[a1,a2,a3,a4,a6] |
Generators |
[-480:735:1] |
Generators of the group modulo torsion |
j |
180945977944161529/992266372125 |
j-invariant |
L |
6.5167584362091 |
L(r)(E,1)/r! |
Ω |
0.16206125046734 |
Real period |
R |
1.675487504315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052186 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240jn3 1785j3 |
Quadratic twists by: -4 8 |