Atkin-Lehner |
2- 3+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
117978n |
Isogeny class |
Conductor |
117978 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16536000 |
Modular degree for the optimal curve |
Δ |
1.0648152323984E+22 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -2 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-156782989,-755656974013] |
[a1,a2,a3,a4,a6] |
Generators |
[-1505489927590311118992769701385193533192:1217304448992177758177939554250498244243:208901672894927696221237240237907456] |
Generators of the group modulo torsion |
j |
129162875619149/3226944 |
j-invariant |
L |
7.8349115226068 |
L(r)(E,1)/r! |
Ω |
0.042665365528373 |
Real period |
R |
61.212113379196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999315167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117978h1 |
Quadratic twists by: 53 |