Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
2415f |
Isogeny class |
Conductor |
2415 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3183837890625 = -1 · 34 · 512 · 7 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2071,93026] |
[a1,a2,a3,a4,a6] |
j |
-982374577874929/3183837890625 |
j-invariant |
L |
1.3996460788421 |
L(r)(E,1)/r! |
Ω |
0.69982303942107 |
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 |
38640bg3 7245s4 12075c4 16905q4 |
Quadratic twists by: -4 -3 5 -7 |