Atkin-Lehner |
3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2205k |
Isogeny class |
Conductor |
2205 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1125680338125 = 37 · 54 · 77 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49622,-4241856] |
[a1,a2,a3,a4,a6] |
j |
157551496201/13125 |
j-invariant |
L |
1.2795104421584 |
L(r)(E,1)/r! |
Ω |
0.3198776105396 |
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 |
35280ff4 735a3 11025x3 315b3 |
Quadratic twists by: -4 -3 5 -7 |