Atkin-Lehner |
2+ 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20650k |
Isogeny class |
Conductor |
20650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-1032500 = -1 · 22 · 54 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ -4 -3 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,25,25] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1:1] [0:5:1] |
Generators of the group modulo torsion |
j |
2595575/1652 |
j-invariant |
L |
4.5734522441957 |
L(r)(E,1)/r! |
Ω |
1.7232272938564 |
Real period |
R |
0.44233401096712 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20650v1 |
Quadratic twists by: 5 |