Atkin-Lehner |
2+ 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240bn |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-31979888640000 = -1 · 216 · 38 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7455,-114975] |
[a1,a2,a3,a4,a6] |
Generators |
[17:128:1] [65:800:1] |
Generators of the group modulo torsion |
j |
699082560284/487974375 |
j-invariant |
L |
10.777261186906 |
L(r)(E,1)/r! |
Ω |
0.37154969119821 |
Real period |
R |
3.625780562787 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999312 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240kq3 14280bq4 |
Quadratic twists by: -4 8 |