Atkin-Lehner |
2+ 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240bu |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-31423438577664000 = -1 · 216 · 38 · 53 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,43455,7769025] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:2160:1] [160:4335:1] |
Generators of the group modulo torsion |
j |
138469157604284/479483620875 |
j-invariant |
L |
10.090156198062 |
L(r)(E,1)/r! |
Ω |
0.26269710991609 |
Real period |
R |
6.4016414186387 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001674 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240kv3 14280n4 |
Quadratic twists by: -4 8 |