Atkin-Lehner |
2- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
10300a |
Isogeny class |
Conductor |
10300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
-128750000 = -1 · 24 · 57 · 103 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 -4 -2 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,562] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:25:1] [1:23:1] |
Generators of the group modulo torsion |
j |
-16384/515 |
j-invariant |
L |
5.0857802707469 |
L(r)(E,1)/r! |
Ω |
1.5462280134531 |
Real period |
R |
0.27409607048559 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41200bf1 92700h1 2060a1 |
Quadratic twists by: -4 -3 5 |