Atkin-Lehner |
3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
42135h |
Isogeny class |
Conductor |
42135 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
505440 |
Modular degree for the optimal curve |
Δ |
-99116252423746875 = -1 · 33 · 55 · 537 |
Discriminant |
Eigenvalues |
0 3- 5- -2 -4 0 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-621725,-189502969] |
[a1,a2,a3,a4,a6] |
Generators |
[1095:21067:1] |
Generators of the group modulo torsion |
j |
-1199124250624/4471875 |
j-invariant |
L |
5.5898607812401 |
L(r)(E,1)/r! |
Ω |
0.084991006072745 |
Real period |
R |
1.0961671200151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126405k1 795b1 |
Quadratic twists by: -3 53 |