Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850gl |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1296000 |
Modular degree for the optimal curve |
Δ |
3493361315981250000 = 24 · 36 · 58 · 79 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-557555,-132493053] |
[a1,a2,a3,a4,a6] |
Generators |
[-555:2678:1] |
Generators of the group modulo torsion |
j |
67312940590345/12267496528 |
j-invariant |
L |
10.323152187878 |
L(r)(E,1)/r! |
Ω |
0.17690691556803 |
Real period |
R |
1.6209328308359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998223 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650n1 59850bd1 |
Quadratic twists by: -3 5 |