Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240jx |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
68738771888640000 = 212 · 38 · 54 · 72 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5462105,4911632103] |
[a1,a2,a3,a4,a6] |
Generators |
[1381:-2040:1] |
Generators of the group modulo torsion |
j |
4399911864308960802496/16781926730625 |
j-invariant |
L |
9.3895165872037 |
L(r)(E,1)/r! |
Ω |
0.30467398946077 |
Real period |
R |
0.4815350247776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999734837 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240hl2 57120be1 |
Quadratic twists by: -4 8 |