Atkin-Lehner |
2- 3+ 5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
62010bh |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-465075000 = -1 · 23 · 33 · 55 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,193,31] |
[a1,a2,a3,a4,a6] |
Generators |
[1:14:1] |
Generators of the group modulo torsion |
j |
29589645357/17225000 |
j-invariant |
L |
11.193489503194 |
L(r)(E,1)/r! |
Ω |
1.0041351790523 |
Real period |
R |
0.37157976788714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62010b1 |
Quadratic twists by: -3 |