Atkin-Lehner |
2+ 3- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
99864f |
Isogeny class |
Conductor |
99864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
44262920448 = 28 · 38 · 192 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 2 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2199,38378] |
[a1,a2,a3,a4,a6] |
Generators |
[34:54:1] |
Generators of the group modulo torsion |
j |
6301325392/237177 |
j-invariant |
L |
7.9421466824143 |
L(r)(E,1)/r! |
Ω |
1.1298200724116 |
Real period |
R |
1.7573919236582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33288j1 |
Quadratic twists by: -3 |