Atkin-Lehner |
2+ 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240q |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1344059924580925440 = -1 · 218 · 3 · 5 · 72 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,139519,-52093695] |
[a1,a2,a3,a4,a6] |
Generators |
[1105:-38080:1] [784:23207:1] |
Generators of the group modulo torsion |
j |
1145725929069119/5127181719135 |
j-invariant |
L |
8.4414678084872 |
L(r)(E,1)/r! |
Ω |
0.13681175956695 |
Real period |
R |
3.8563332541018 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001142 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240jk5 1785m6 |
Quadratic twists by: -4 8 |