Atkin-Lehner |
2+ 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
106200u |
Isogeny class |
Conductor |
106200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
547200 |
Modular degree for the optimal curve |
Δ |
-2030119200000000 = -1 · 211 · 36 · 58 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -5 4 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19875,-2421250] |
[a1,a2,a3,a4,a6] |
Generators |
[326:5074:1] |
Generators of the group modulo torsion |
j |
-1488770/3481 |
j-invariant |
L |
4.5202119409197 |
L(r)(E,1)/r! |
Ω |
0.18776773455327 |
Real period |
R |
4.012237023944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004556 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11800h1 106200bf1 |
Quadratic twists by: -3 5 |