Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966dl |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
189162845543616 = 26 · 3 · 74 · 177 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -4 -5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14456,97152] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:906:1] |
Generators of the group modulo torsion |
j |
5764801/3264 |
j-invariant |
L |
9.6816036603973 |
L(r)(E,1)/r! |
Ω |
0.48832900555987 |
Real period |
R |
1.6521654356537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966cr1 4998z1 |
Quadratic twists by: -7 17 |