Atkin-Lehner |
2- 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12432bm |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
38645920067328 = 28 · 38 · 75 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 0 4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-90636,10528668] |
[a1,a2,a3,a4,a6] |
j |
321655313992678864/150960625263 |
j-invariant |
L |
3.1906874268977 |
L(r)(E,1)/r! |
Ω |
0.63813748537955 |
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 |
3108f2 49728ev2 37296cp2 87024el2 |
Quadratic twists by: -4 8 -3 -7 |