Atkin-Lehner |
2- 3- 5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62010bo |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
772096 |
Modular degree for the optimal curve |
Δ |
7584189146726400 = 226 · 38 · 52 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-124043,16315931] |
[a1,a2,a3,a4,a6] |
Generators |
[235:202:1] |
Generators of the group modulo torsion |
j |
289540743311301481/10403551641600 |
j-invariant |
L |
10.076236957402 |
L(r)(E,1)/r! |
Ω |
0.41415573904817 |
Real period |
R |
0.93575324147113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20670o1 |
Quadratic twists by: -3 |