Atkin-Lehner |
3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
52983k |
Isogeny class |
Conductor |
52983 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
417600 |
Modular degree for the optimal curve |
Δ |
-68924451024179541 = -1 · 39 · 7 · 298 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 1 4 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-242366,47691546] |
[a1,a2,a3,a4,a6] |
j |
-4317433/189 |
j-invariant |
L |
1.3756249117333 |
L(r)(E,1)/r! |
Ω |
0.34390622757056 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17661b1 52983c1 |
Quadratic twists by: -3 29 |