Atkin-Lehner |
3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2205i |
Isogeny class |
Conductor |
2205 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-2836714452075 = -1 · 39 · 52 · 78 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 0 -1 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2058,72630] |
[a1,a2,a3,a4,a6] |
Generators |
[98:1102:1] |
Generators of the group modulo torsion |
j |
229376/675 |
j-invariant |
L |
2.7570866409959 |
L(r)(E,1)/r! |
Ω |
0.56681566115942 |
Real period |
R |
0.4053473392267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35280ev1 735d1 11025q1 2205f1 |
Quadratic twists by: -4 -3 5 -7 |