Atkin-Lehner |
2+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
20600i |
Isogeny class |
Conductor |
20600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-206000 = -1 · 24 · 53 · 103 |
Discriminant |
Eigenvalues |
2+ -3 5- -2 -6 -4 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10,25] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:1:1] [0:5:1] |
Generators of the group modulo torsion |
j |
-55296/103 |
j-invariant |
L |
4.3188580035407 |
L(r)(E,1)/r! |
Ω |
2.8269982150745 |
Real period |
R |
0.38192967194952 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41200x1 20600x1 |
Quadratic twists by: -4 5 |