Atkin-Lehner |
2- 3- 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
62010cd |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-22538398036377600 = -1 · 214 · 37 · 52 · 132 · 533 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,58783,4684209] |
[a1,a2,a3,a4,a6] |
Generators |
[17:2376:1] |
Generators of the group modulo torsion |
j |
30814728803051831/30916869734400 |
j-invariant |
L |
10.694860051678 |
L(r)(E,1)/r! |
Ω |
0.25105481969297 |
Real period |
R |
0.50713928803808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000185 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20670a1 |
Quadratic twists by: -3 |