Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160jp |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-363677380070400 = -1 · 210 · 36 · 52 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20005,1417403] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:1452:1] |
Generators of the group modulo torsion |
j |
-488095744/200475 |
j-invariant |
L |
7.5456663054993 |
L(r)(E,1)/r! |
Ω |
0.50382618801236 |
Real period |
R |
0.62403021422397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999584016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160cj1 29040ci1 10560cj1 |
Quadratic twists by: -4 8 -11 |