Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240jg |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
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 |
[99:504:1] |
Generators of the group modulo torsion |
j |
19596564207616/27326565 |
j-invariant |
L |
7.2532575140274 |
L(r)(E,1)/r! |
Ω |
0.55043525386026 |
Real period |
R |
1.6471640986364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005195 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240k1 28560z1 |
Quadratic twists by: -4 8 |