Atkin-Lehner |
3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2205b |
Isogeny class |
Conductor |
2205 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
136193423625 = 33 · 53 · 79 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 2 6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3023,62206] |
[a1,a2,a3,a4,a6] |
j |
2803221/125 |
j-invariant |
L |
1.0259205156688 |
L(r)(E,1)/r! |
Ω |
1.0259205156688 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280da1 2205c1 11025g1 2205d1 |
Quadratic twists by: -4 -3 5 -7 |