Atkin-Lehner |
2+ 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240k |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
27982402560 = 210 · 38 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5661,165645] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:567:1] [20:245:1] |
Generators of the group modulo torsion |
j |
19596564207616/27326565 |
j-invariant |
L |
9.1542762563177 |
L(r)(E,1)/r! |
Ω |
1.181080873066 |
Real period |
R |
3.8753807915718 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998659 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240jg1 14280x1 |
Quadratic twists by: -4 8 |