Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520gk |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3502080 |
Modular degree for the optimal curve |
Δ |
-3.9314191478155E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -3 -3 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7965732,-8705822056] |
[a1,a2,a3,a4,a6] |
Generators |
[111373:37156005:1] |
Generators of the group modulo torsion |
j |
-74881286942075067136/526649727234375 |
j-invariant |
L |
4.9559977991494 |
L(r)(E,1)/r! |
Ω |
0.044913890912851 |
Real period |
R |
9.1953693554882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83520cz1 20880bu1 27840ci1 |
Quadratic twists by: -4 8 -3 |