Atkin-Lehner |
2- 3+ 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12558o |
Isogeny class |
Conductor |
12558 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
50232 = 23 · 3 · 7 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-267904,-53484055] |
[a1,a2,a3,a4,a6] |
j |
2126480513962938771457/50232 |
j-invariant |
L |
2.5181754915172 |
L(r)(E,1)/r! |
Ω |
0.20984795762643 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100464bv4 37674j4 87906bm4 |
Quadratic twists by: -4 -3 -7 |