Atkin-Lehner |
2- 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
36850w |
Isogeny class |
Conductor |
36850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-2282931200000000 = -1 · 216 · 58 · 113 · 67 |
Discriminant |
Eigenvalues |
2- 1 5- -4 11+ 2 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-38638,-3722108] |
[a1,a2,a3,a4,a6] |
Generators |
[252:1474:1] |
Generators of the group modulo torsion |
j |
-16330831371265/5844303872 |
j-invariant |
L |
8.3800048427318 |
L(r)(E,1)/r! |
Ω |
0.16725773449065 |
Real period |
R |
1.0437988697815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36850e1 |
Quadratic twists by: 5 |