Atkin-Lehner |
2- 3+ 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120by |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
35841044278368000 = 28 · 318 · 53 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-85260,3004092] |
[a1,a2,a3,a4,a6] |
j |
267747130744712656/140004079212375 |
j-invariant |
L |
0.9662583806291 |
L(r)(E,1)/r! |
Ω |
0.32208614961464 |
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 |
24780o2 |
Quadratic twists by: -4 |