Atkin-Lehner |
2- 3- 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
97812l |
Isogeny class |
Conductor |
97812 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
85248 |
Modular degree for the optimal curve |
Δ |
-42180838128 = -1 · 24 · 36 · 114 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 11- 13+ -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-597,11365] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:9:1] [23:99:1] |
Generators of the group modulo torsion |
j |
-2017433344/3616327 |
j-invariant |
L |
8.3270002868991 |
L(r)(E,1)/r! |
Ω |
1.0215198390891 |
Real period |
R |
0.33964915021475 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000385 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10868a1 |
Quadratic twists by: -3 |