Atkin-Lehner |
3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
67725bg |
Isogeny class |
Conductor |
67725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-10449020408203125 = -1 · 310 · 59 · 72 · 432 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-57492,7249041] |
[a1,a2,a3,a4,a6] |
j |
-14760213677/7338681 |
j-invariant |
L |
3.0279617529214 |
L(r)(E,1)/r! |
Ω |
0.37849521852969 |
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 |
22575s2 67725bf2 |
Quadratic twists by: -3 5 |