Atkin-Lehner |
2- 3- 11- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
97614bl |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
18063360 |
Modular degree for the optimal curve |
Δ |
5.0636634103503E+24 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49496045,-78998700715] |
[a1,a2,a3,a4,a6] |
Generators |
[-391120605:21441455344:91125] |
Generators of the group modulo torsion |
j |
18395333641069840545567625/6946040343416014672128 |
j-invariant |
L |
12.952877804109 |
L(r)(E,1)/r! |
Ω |
0.058749211560932 |
Real period |
R |
13.779842158745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32538h1 |
Quadratic twists by: -3 |