Atkin-Lehner |
2- 3+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
126582x |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-20837915042562 = -1 · 2 · 34 · 176 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -4 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-873,-220215] |
[a1,a2,a3,a4,a6] |
j |
-3048625/863298 |
j-invariant |
L |
4.8796388038469 |
L(r)(E,1)/r! |
Ω |
0.30497751865958 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
438b2 |
Quadratic twists by: 17 |