Atkin-Lehner |
2- 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
12432bf |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1808428036751917056 = -1 · 215 · 33 · 79 · 373 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 6 -4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,252048,-42675264] |
[a1,a2,a3,a4,a6] |
Generators |
[386:10582:1] |
Generators of the group modulo torsion |
j |
432326451325256207/441510751160136 |
j-invariant |
L |
3.0264707006613 |
L(r)(E,1)/r! |
Ω |
0.1435494327368 |
Real period |
R |
3.513854243983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1554n2 49728ec2 37296cb2 87024ek2 |
Quadratic twists by: -4 8 -3 -7 |