Atkin-Lehner |
2- 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12432bl |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-884708585177088 = -1 · 216 · 3 · 74 · 374 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18264,-1711632] |
[a1,a2,a3,a4,a6] |
j |
-164503536215257/215993306928 |
j-invariant |
L |
0.78311223741361 |
L(r)(E,1)/r! |
Ω |
0.1957780593534 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1554c4 49728ep3 37296cn3 87024ef3 |
Quadratic twists by: -4 8 -3 -7 |