Atkin-Lehner |
5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
205a |
Isogeny class |
Conductor |
205 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12 |
Modular degree for the optimal curve |
Δ |
1025 = 52 · 41 |
Discriminant |
Eigenvalues |
-1 0 5- -4 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22,44] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:8:1] |
Generators of the group modulo torsion |
j |
1128111921/1025 |
j-invariant |
L |
0.98123969640841 |
L(r)(E,1)/r! |
Ω |
4.8982345730957 |
Real period |
R |
1.6026013973247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3280m1 13120l1 1845c1 1025b1 |
Quadratic twists by: -4 8 -3 5 |