Atkin-Lehner |
3- 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
58905bf |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
164013609375 = 36 · 56 · 7 · 112 · 17 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 11+ 6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5454,-152447] |
[a1,a2,a3,a4,a6] |
j |
24614236831969/224984375 |
j-invariant |
L |
3.3350922937366 |
L(r)(E,1)/r! |
Ω |
0.55584871611427 |
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 |
6545b2 |
Quadratic twists by: -3 |